Jump To The First Citation Point In The Article1
Abrahams, A. M., and Evans, C. R., ``Critical Behavior and Scaling in Vacuum Axisymmetric Gravitational Collapse'', Phys. Rev. Lett., 70, 2980-2983, (1993).
Jump To The First Citation Point In The Article2
Abrahams, A. M., Heiderich, K. R., Shapiro, S. L., and Teukolsky, S. A., ``Vacuum Initial Data, Singularities, and Cosmic Censorship'', Phys. Rev. D, 46, 2452-2463, (1992).
Jump To The First Citation Point In The Article3
Andersson, L., and Rendall, A. D., ``Quiescent Cosmological Singularity'', Commun. Math. Phys., 218, 479-511, (2001). For a related online version see: L. Andersson, et al., ``Quiescent Cosmological Singularity'', (January, 2000), [Online Los Alamos Archive Preprint]: cited on 17 Jan 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0001047 .
Jump To The First Citation Point In The Article4
Anninos, P., ``Computational Cosmology: from the Early Universe to the Large Scale Structure'', Living Rev. Relativity, 4, 2001-2anninos, (February, 2001), [Online Journal Article]: cited on 2 Dec 2001, http://www.livingreviews.org/Articles/Volume4/2001-2anninos/ .
Jump To The First Citation Point In The Article5
Anninos, P., Centrella, J., and Matzner, R. A., ``Nonlinear Wave Solutions to the Planar Vacuum Einstein Equations'', Phys. Rev. D, 43, 1825-1838, (1991).
Jump To The First Citation Point In The Article6
Anninos, P., Centrella, J., and Matzner, R. A., ``Numerical Methods for Solving the Planar Vacuum Einstein Equations'', Phys. Rev. D, 43, 1808-1824, (1991).
Jump To The First Citation Point In The Article7
Ashtekar, A., Beetle, C., Dreyer, O., Fairhurs, S., Krishnan, B., Lewandowski, J., and Wisniewski, J., ``Generic Isolated Horizons and Their Applications'', Phys. Rev. Lett., 85, 3564-3567, (2000). For a related online version see: A. Ashtekar, et al., ``Generic Isolated Horizons and Their Applications'', (June, 2000), [Online Los Alamos Archive Preprint]: cited on 17 Aug 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0006006 .
Jump To The First Citation Point In The Article8
Bañados, M., Teitelboim, C., and Zanelli, J., ``Black Hole in Three-Dimensional Spacetime'', Phys. Rev. Lett., 69, 1849-1851, (1992).
Jump To The First Citation Point In The Article9
Barrabès, C., Gremain, A., Lesigne, E., and Letelier, P. S., ``Geometric Inequalities and the Hoop Conjecture'', Class. Quantum Grav., 9, L105-L110, (1992).
Jump To The First Citation Point In The Article10
Barrabès, C., Israel, W., and Letelier, P. S., ``Analytic Models of Nonspherical Collapse, Cosmic Censorship and the Hoop Conjecture'', Phys. Lett. A, 160, 41-44, (1991).
Jump To The First Citation Point In The Article11
Barrow, J. D., ``Chaotic Behaviour in General Relativity'', Phys. Rep., 85, 1-49, (1982).
Jump To The First Citation Point In The Article12
Barrow, J. D., and Levin, J., ``Chaos in the Einstein-Yang-Mills Equations'', Phys. Rev. Lett., 80, 656-659, (1998). For a related online version see: J. D. Barrow, et al., ``Chaos in the Einstein-Yang-Mills Equations'', (June, 1997), [Online Los Alamos Archive Preprint]: cited on 20 Jun 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9706065 .
Jump To The First Citation Point In The Article13
Barrow, J. D., and Tipler, F., ``Analysis of the Generic Singularity Studies by Belinskii, Khalatnikov, and Lifshitz'', Phys. Rep., 56, 371-402, (1979).
Jump To The First Citation Point In The Article14
Bartnik, R., and McKinnon, J., ``Particle-like Solutions of the Einstein-Yang-Mills Equations'', Phys. Rev. Lett., 61, 141-144, (1988).
Jump To The First Citation Point In The Article15
Belanger, Z. B., Adaptive Mesh Refinement in the tex2html_wrap_inline2040 Symmetric Spacetime, Masters Thesis, (Oakland University, Rochester, 2001).
Jump To The First Citation Point In The Article16
Belinskii, V. A., ``Turbulence of a Gravitational Field near a Cosmological Singularity'', JETP Lett., 56, 421-425, (1992).
Jump To The First Citation Point In The Article17
Belinskii, V. A., and Khalatnikov, I. M., ``General Solution of the Gravitational Equations with a Physical Singularity'', Sov. Phys. JETP, 30, 1174-1180, (1969).
Jump To The First Citation Point In The Article18
Belinskii, V. A., and Khalatnikov, I. M., ``On the Nature of the Singularities in the General Solution of the Gravitational Equations'', Sov. Phys. JETP, 29, 911-917, (1969).
Jump To The First Citation Point In The Article19
Belinskii, V. A., and Khalatnikov, I. M., ``General Solution of the Gravitational Equations with a Physical Oscillatory Singularity'', Sov. Phys. JETP, 32, 169-172, (1971).
Jump To The First Citation Point In The Article20
Belinskii, V. A., and Khalatnikov, I. M., ``Effect of Scalar and Vector Fields on the Nature of the Cosmological Singularity'', Sov. Phys. JETP, 36, 591-597, (1973).
Jump To The First Citation Point In The Article21
Belinskii, V. A., Khalatnikov, I. M., and Lifshitz, E. M., ``A General Solution of the Einstein Equations with a Time Singularity'', Adv. Phys., 31, 639-667, (1982).
Jump To The First Citation Point In The Article22
Belinskii, V. A., Lifshitz, E. M., and Khalatnikov, I. M., ``Oscillatory Approach to the Singular Point in Relativistic Cosmology'', Sov. Phys. Usp., 13, 745-765, (1971).
Jump To The First Citation Point In The Article23
Berger, B. K., ``A Spectral Symplectic Method for Numerical Investigation of Cosmological Singularities'', (January, 2000), [Online Talk]: cited on 20 Jan 2000, External Linkhttp://online.itp.ucsb.edu/online/numrel00/berger/ .
Jump To The First Citation Point In The Article24
Berger, B. K., ``On the Nature of the Generic Big Bang'', (January, 1998), [Online Los Alamos Archive Preprint]: cited on 6 Jan 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9801010 .
Jump To The First Citation Point In The Article25
Berger, B. K., ``Numerical Approaches to Spacetime Singularities'', Living Rev. Relativity, 1, 1998-7berger, (May, 1998), [Online Journal Article]: cited on 3 May 1998, http://www.livingreviews.org/Articles/Volume1/1998-7berger .
Jump To The First Citation Point In The Article26
Berger, B. K., ``Quantum Graviton Creation in a Model Universe'', Ann. Phys. (N. Y.), 83, 458-490, (1974).
Jump To The First Citation Point In The Article27
Berger, B. K., ``Comments on the Computation of Liapunov Exponents for the Mixmaster Universe'', Gen. Relativ. Gravit., 23, 1385-1402, (1991).
Jump To The First Citation Point In The Article28
Berger, B. K., ``How to Determine Approximate Mixmaster Parameters from Numerical Evolution of Einstein's Equations'', Phys. Rev. D, 49, 1120-1123, (1994). For a related online version see: B. K. Berger, ``How to Determine Approximate Mixmaster Parameters from Numerical Evolution of Einstein's Equations'', (August, 1993), [Online Los Alamos Archive Preprint]: cited on 17 Aug 1993, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9308016 .
Jump To The First Citation Point In The Article29
Berger, B. K., ``Comment on the `Chaotic' Singularity in Some Magnetic Bianchi VI tex2html_wrap_inline2006 Cosmologies'', Class. Quantum Grav., 13, 1273-1276, (1996). For a related online version see: B. K. Berger, ``Comment on the `Chaotic' Singularity in Some Magnetic Bianchi VI tex2html_wrap_inline2006 Cosmologies'', (December, 1995), [Online Los Alamos Archive Preprint]: cited on 1 Dec 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9512005 .
Jump To The First Citation Point In The Article30
Berger, B. K., ``Numerical Investigation of Cosmological Singularities'', in Hehl, F. W., Puntigam, R. A., and Ruder, H., eds., Relativity and Scientific Computing, 152-169, (Springer, Berlin, 1996). For a related online version see: B. K. Berger, ``Numerical Investigation of Cosmological Singularities'', (December, 1995), [Online Los Alamos Archive Preprint]: cited on 1 Dec 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9512004 .
Jump To The First Citation Point In The Article31
Berger, B. K., ``Numerical Investigation of Singularities'', in Francaviglia, M., Longhi, G., Lusanna, L., and Sorace, E., eds., General Relativity and Gravitation, 57-78, (World Scientific, Singapore, 1997). For a related online version see: B. K. Berger, ``Numerical Investigation of Singularities'', (December, 1995), [Online Los Alamos Archive Preprint]: cited on 1 Dec 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9512003 .
Jump To The First Citation Point In The Article32
Berger, B. K., ``Approach to the Singularity in Spatially Inhomogeneous Cosmologies'', in Weikard, R., and Weinstein, G., eds., Differential Equations and Mathematical Physics: Proceedings of an International Conference Held at the University of Alabama, (American Mathematical Society, Providence, 2000). For a related online version see: B. K. Berger, ``Approach to the Singularity in Spatially Inhomogeneous Cosmologies'', (June, 2001), [Online Los Alamos Archive Preprint]: cited on 4 Jun 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0106009 .
Jump To The First Citation Point In The Article33
Berger, B. K., ``Influence of Scalar Fields on the Approach to the Singularity in Spatially Inhomogeneous Cosmologies'', Phys. Rev. D, 61, 023508, (2000). For a related online version see: B. K. Berger, ``Influence of Scalar Fields on the Approach to the Singularity in Spatially Inhomogeneous Cosmologies'', (July, 1999), [Online Los Alamos Archive Preprint]: cited on 26 Jul 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9907083 .
Jump To The First Citation Point In The Article34
Berger, B. K., Chrusciel, P. T., and Moncrief, V., ``On `Asymptotically Flat' Space-Times with tex2html_wrap_inline1806 -Invariant Cauchy Surfaces'', Ann. Phys. (N. Y.), 237, 322-354, (1995). For a related online version see: B. K. Berger, et al., ``On `Asymptotically Flat' Space-Times with tex2html_wrap_inline1806 -Invariant Cauchy Surfaces'', (April, 1994), [Online Los Alamos Archive Preprint]: cited on 6 Apr 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9404005 .
Jump To The First Citation Point In The Article35
Berger, B. K., and Garfinkle, D., ``Phenomenology of the Gowdy Model on tex2html_wrap_inline2066 '', Phys. Rev. D, 57, 4767-4777, (1998). For a related online version see: B. K. Berger, et al., ``Phenomenology of the Gowdy Model on tex2html_wrap_inline2066 '', (October, 1997), [Online Los Alamos Archive Preprint]: cited on 21 Oct 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9710102 .
Jump To The First Citation Point In The Article36
Berger, B. K., Garfinkle, D., Isenberg, J., Moncrief, V., and Weaver, M., ``The Singularity in Generic Gravitational Collapse is Spacelike, Local, and Oscillatory'', Mod. Phys. Lett. A, 13, 1565-1573, (1998). For a related online version see: B. K. Berger, et al., ``The Singularity in Generic Gravitational Collapse is Spacelike, Local, and Oscillatory'', (May, 1998), [Online Los Alamos Archive Preprint]: cited on 17 May 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9805063 .
Jump To The First Citation Point In The Article37
Berger, B. K., Garfinkle, D., and Moncrief, V., ``Numerical Study of Cosmological Singularities'', in Burko, L. M., and Ori, A., eds., Internal Structure of Black Holes and Spacetime Singularities, 441-457, (Institute of Physics, Bristol, 1998). For a related online version see: B. K. Berger, et al., ``Numerical Study of Cosmological Singularities'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 26 Sep 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9709073 .
Jump To The First Citation Point In The Article38
Berger, B. K., Garfinkle, D., and Strasser, E., ``New Algorithm for Mixmaster Dynamics'', Class. Quantum Grav., 14, L29-L36, (1996). For a related online version see: B. K. Berger, et al., ``New Algorithm for Mixmaster Dynamics'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 30 Sep 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9609072 .
Jump To The First Citation Point In The Article39
Berger, B. K., Garfinkle, D., and Swamy, V., ``Detection of Computer Generated Gravitational Waves in Numerical Cosmologies'', Gen. Relativ. Gravit., 27, 511-527, (1995). For a related online version see: B. K. Berger, et al., ``Detection of Computer Generated Gravitational Waves in Numerical Cosmologies'', (May, 1994), [Online Los Alamos Archive Preprint]: cited on 27 May 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9405069 .
Jump To The First Citation Point In The Article40
Berger, B. K., Isenberg, J., Chrusciel, P. T., and Moncrief, V., ``Global Foliations of Vacuum Spacetimes with tex2html_wrap_inline2040 Isometry'', Ann. Phys. (N. Y.), 260, 117-148, (1997). For a related online version see: B. K. Berger, et al., ``Global Foliations of Vacuum Spacetimes with tex2html_wrap_inline2040 Isometry'', (February, 1997), [Online Los Alamos Archive Preprint]: cited on 3 Feb 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9702007 .
Jump To The First Citation Point In The Article41
Berger, B. K., Isenberg, J., and Weaver, M., ``Oscillatory Approach to the Singularity in Vacuum Spacetimes with tex2html_wrap_inline2040 Isometry'', Phys. Rev. D, 62, 123501, (2000). For a related online version see: B. K. Berger, et al., ``Oscillatory Approach to the Singularity in Vacuum Spacetimes with tex2html_wrap_inline2040 Isometry'', (April, 2001), [Online Los Alamos Archive Preprint]: cited on 16 Apr 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0104048 .
Jump To The First Citation Point In The Article42
Berger, B. K., and Moncrief, V., ``Numerical Investigation of Cosmological Singularities'', Phys. Rev. D, 48, 4676-4687, (1993). For a related online version see: B. K. Berger, et al., ``Numerical Investigation of Cosmological Singularities'', (July, 1993), [Online Los Alamos Archive Preprint]: cited on 22 Jul 93, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9307032 .
Jump To The First Citation Point In The Article43
Berger, B. K., and Moncrief, V., ``Evidence for an Oscillatory Singularity in Generic U (1) Symmetric Cosmologies on tex2html_wrap_inline2066 '', Phys. Rev. D, 58, 064023, (1998). For a related online version see: B. K. Berger, et al., ``Evidence for an Oscillatory Singularity in Generic U (1) Symmetric Cosmologies on tex2html_wrap_inline2066 '', (April, 1998), [Online Los Alamos Archive Preprint]: cited on 30 Apr 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9804085 .
Jump To The First Citation Point In The Article44
Berger, B. K., and Moncrief, V., ``Numerical Evidence that the Singularity in Polarized U (1) Symmetric Cosmologies on tex2html_wrap_inline2066 is Velocity Dominated'', Phys. Rev. D, 57, 7235-7240, (1998). For a related online version see: B. K. Berger, et al., ``Numerical Evidence that the Singularity in Polarized U (1) Symmetric Cosmologies on tex2html_wrap_inline2066 is Velocity Dominated'', (January, 1998), [Online Los Alamos Archive Preprint]: cited on 22 Jan 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9801078 .
Jump To The First Citation Point In The Article45
Berger, B. K., and Moncrief, V., ``Signature for Local Mixmaster Dynamics in U (1) Symmetric Cosmologies'', Phys. Rev. D, 62, 123501, (2000). For a related online version see: B. K. Berger, et al., ``Signature for Local Mixmaster Dynamics in U (1) Symmetric Cosmologies'', (June, 2000), [Online Los Alamos Archive Preprint]: cited on 20 Jun 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0006071 .
Jump To The First Citation Point In The Article46
Bizon, P., ``How to Make a Tiny Black Hole?'', Acta Cosmologica, 22, 81, (1996). For a related online version see: P. Bizon, ``How to Make a Tiny Black Hole?'', (June, 1996), [Online Los Alamos Archive Preprint]: cited on 19 Jun 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9606060 .
Jump To The First Citation Point In The Article47
Bizon, P., and Chmaj, T., ``Formation and Critical Collapse of Skyrmions'', Phys. Rev. D, 58, 041501, (1998). For a related online version see: P. Bizon, et al., ``Critical Collapse of Skyrmions'', (January, 1998), [Online Los Alamos Archive Preprint]: cited on 12 Jan 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9801012 .
Jump To The First Citation Point In The Article48
Bizon, P., Chmaj, T., and Tabor, Z., ``Dispersion and Collapse of Wave Maps'', Nonlinearity, 13, 1411-1423, (2000). For a related online version see: P. Bizon, et al., ``Dispersion and Collapse of Wave Maps'', (December, 1999), [Online Los Alamos Archive Preprint]: cited on 17 Dec 1999, External Linkhttp://xxx.lanl.gov/abs/math-ph/9912009 .
Jump To The First Citation Point In The Article49
Bizon, P., and Tabor, Z., ``On Blowup for Yang-Mills Fields'', Phys. Rev. D, 64, 121701, (2001). For a related online version see: P. Bizon, et al., ``On Blowup for Yang-Mills Fields'', (May, 2001), [Online Los Alamos Archive Preprint]: cited on 16 May 2001, External Linkhttp://xxx.lanl.gov/abs/math-ph/0105016 .
Jump To The First Citation Point In The Article50
Bonanno, A., Droz, S., Israel, W., and Morsink, S. M., ``Structure of the Spherical Black Hole Interior'', Proc. R. Soc. London, Ser. A, 450, 553-567, (1995). For a related online version see: A. Bonanno, et al., ``Structure of the Spherical Black Hole Interior'', (November, 1994), [Online Los Alamos Archive Preprint]: cited on 18 Nov 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9411050 .
Jump To The First Citation Point In The Article51
Brady, P. R., and Chambers, C. M., ``Non-Linear Instability of Kerr-Type Cauchy Horizons'', Phys. Rev. D, 51, 4177-4186, (1995). For a related online version see: P. R. Brady, et al., ``Non-Linear Instability of Kerr-Type Cauchy Horizons'', (January, 1995), [Online Los Alamos Archive Preprint]: cited on 21 Jan 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9501025 .
Jump To The First Citation Point In The Article52
Brady, P. R., Chambers, C. M., and Gonçalves, S. M. C. V., ``Phases of Massive Scalar Field Collapse'', Phys. Rev. D, 56, 6057-6061, (1997). For a related online version see: P. R. Brady, et al., ``Phases of Massive Scalar Field Collapse'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 5 Sep 1997, External Linkhttp://xxx.lanl.gov/gr-qc/9709014 .
Jump To The First Citation Point In The Article53
Brady, P. R., Chambers, C. M., Krivan, W., and Laguna, P., ``Telling Tails in the Presence of a Cosmological Constant'', Phys. Rev. D, 55, 7538-7545, (1997). For a related online version see: P. R. Brady, et al., ``Telling Tails in the Presence of a Cosmological Constant'', (November, 1996), [Online Los Alamos Archive Preprint]: cited on 23 Nov 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9611056 .
Jump To The First Citation Point In The Article54
Brady, P. R., Droz, S., and Morsink, S. M., ``Late-Time Singularity inside Nonspherical Black Holes'', Phys. Rev. D, 58, 084034, (1998). For a related online version see: P. R. Brady, et al., ``The Late-Time Singularity inside Nonspherical Black Holes'', (May, 1998), [Online Los Alamos Archive Preprint]: cited on 5 May 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9805008 .
Jump To The First Citation Point In The Article55
Brady, P. R., Moss, I. G., and Myers, R. C., ``Cosmic Censorship: As Strong as Ever'', Phys. Rev. Lett., 80, 3432-3435, (1998). For a related online version see: P. R. Brady, et al., ``Cosmic Censorship: As Strong as Ever'', (January, 1998), [Online Los Alamos Archive Preprint]: cited on 12 Jan 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9801032 .
Jump To The First Citation Point In The Article56
Brady, P. R., and Smith, J. D., ``Black Hole Singularities a Numerical Approach'', Phys. Rev. Lett., 75, 1256-1259, (1995). For a related online version see: P. R. Brady, et al., ``Black Hole Singularities a Numerical Approach'', (June, 1995), [Online Los Alamos Archive Preprint]: cited on 28 Jun 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/950607 .
Jump To The First Citation Point In The Article57
Breitenlohner, P., Lavrelashvili, G., and Maison, D., ``Mass Inflation and Chaotic Behavior Inside Hairy Black Holes'', Nucl. Phys. B, 524, 427-443, (1998). For a related online version see: P. Breitenlohner, et al., ``Mass Inflation and Chaotic Behavior Inside Hairy Black Holes'', (March, 1997), [Online Los Alamos Archive Preprint]: cited on 18 Mar 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9703047 .
Jump To The First Citation Point In The Article58
Breitenlohner, P., Lavrelashvili, G., and Maison, D., ``Non-Abelian Black Holes: The Inside Story'', in Burko, L. M., and Ori, A., eds., Internal Structure of Black Holes and Spacetime Singularities, 172-193, (Institute of Physics, Bristol, 1998). For a related online version see: P. Breitenlohner, et al., ``Non-Abelian Black Holes: The Inside Story'', (August, 1997), [Online Los Alamos Archive Preprint]: cited on 17 Aug 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9708036 .
Jump To The First Citation Point In The Article59
Breitenlohner, P., Lavrelashvili, G., and Maison, D., ``Mass Inflation Inside Non-Abelian Black Holes'', in Piran, T., ed., Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, (World Scientific, Singapore, 1999). For a related online version see: P. Breitenlohner, et al., ``Mass Inflation Inside Non-Abelian Black Holes'', (November, 1997), [Online Los Alamos Archive Preprint]: cited on 6 Nov 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9711024 .
Jump To The First Citation Point In The Article60
Brill, D. R., ``On the Positive Definite Mass of the Bondi-Weber-Wheeler Time-Symmetric Gravitational Waves'', Ann. Phys. (N. Y.), 7, 466-483, (1959).
Jump To The First Citation Point In The Article61
Browne, M. W., ``A Bet on a Cosmic Scale, and a Concession Sort of'', The New York Times, (12 Feb 1997).
Jump To The First Citation Point In The Article62
Burd, A. B., Buric, N., and Ellis, G. F. R., ``A Numerical Analysis of Chaotic Behavior in Bianchi IX Models'', Gen. Relativ. Gravit., 22, 349-363, (1990).
Jump To The First Citation Point In The Article63
Burko, L. M., ``Structure of the Black Hole's Cauchy Horizon Singularity'', Phys. Rev. Lett., 79, 4958-4961, (1997). For a related online version see: L. M. Burko, ``Structure of the Black Hole's Cauchy Horizon Singularity'', (October, 1997), [Online Los Alamos Archive Preprint]: cited on 26 Oct 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9710112 .
Jump To The First Citation Point In The Article64
Burko, L. M., ``Homogeneous Spacelike Singularities Inside Spherical Black Holes'', in Burko, L. M., and Ori, A., eds., Internal Structure of Black Holes and Spacetime Singularities, (Institute of Physics, Bristol, 1998). For a related online version see: L. M. Burko, ``Homogeneous Spacelike Singularities Inside Spherical Black Holes'', (November, 1997), [Online Los Alamos Archive Preprint]: cited on 5 Nov 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9711012 .
Jump To The First Citation Point In The Article65
Burko, L. M., ``The Singularity in Supercritical Collapse of a Spherical Scalar Field'', Phys. Rev. D, 58, 084013, (1998). For a related online version see: L. M. Burko, ``The Singularity in Supercritical Collapse of a Spherical Scalar Field'', (March, 1998), [Online Los Alamos Archive Preprint]: cited on 22 Mar 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9803059 .
Jump To The First Citation Point In The Article66
Burko, L. M., ``Singularity Deep inside the Charged Black Hole Core'', Phys. Rev. D, 59, 024011, (1999). For a related online version see: L. M. Burko, ``Singularity Deep inside the Charged Black Hole Core'', (July, 1999), [Online Los Alamos Archive Preprint]: cited on 27 Sep 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9809073 .
Jump To The First Citation Point In The Article67
Burko, L. M., and Ori, A., ``Late-Time Evolution of Nonlinear Gravitational Collapse'', Phys. Rev. D, 56, 7820-7832, (1997). For a related online version see: L. M. Burko, et al., ``Late-Time Evolution of Nonlinear Gravitational Collapse'', (March, 1997), [Online Los Alamos Archive Preprint]: cited on 21 Sep 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9703067 .
Jump To The First Citation Point In The Article68
Burko, L. M., and Ori, A., ``Analytic Study of the Null Singularity inside Spherical Charged Black Holes'', Phys. Rev. D, 57, 7084-7088, (1998). For a related online version see: L. M. Burko, et al., ``Analytic Study of the Null Singularity inside Spherical Charged Black Holes'', (November, 1997), [Online Los Alamos Archive Preprint]: cited on 10 Nov 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9711032 .
Jump To The First Citation Point In The Article69
Carretero-Gonzalez, R., Nunuz-Yepez, H. N., and Salas-Brito, A. L., ``Evidence of Chaotic Behavior in Jordan-Brans-Dicke Cosmology'', Phys. Lett. A, 188, 48, (1994).
Jump To The First Citation Point In The Article70
Chambers, C. M., ``The Cauchy Horizon in Black Hole-de Sitter Spacetimes'', in Burko, L. M., and Ori, A., eds., Internal Structure of Black Holes and Spacetime Singularities, (Institute of Physics, Bristol, 1998). For a related online version see: C. M. Chambers, ``The Cauchy Horizon in Black Hole-de Sitter Spacetimes'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 11 Sep 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9709025 .
Jump To The First Citation Point In The Article71
Chambers, C. M., Brady, P. R., and Gonçalves, S. M. C. V., ``Phases of Massive Scalar Field Collapse'', in Piran, T., ed., Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, (World Scientific, Singapore, 1999). For a related online version see: C. M. Chambers, et al., ``Phases of Massive Scalar Field Collapse'', (October, 1997), [Online Los Alamos Archive Preprint]: cited on 2 Oct 1997, External Linkhttp://xxx.lanl.gov/gr-qc/9710014 .
Jump To The First Citation Point In The Article72
Chambers, C. M., Brady, P. R., Krivan, W., and Laguna, P., ``Some Cosmological Tails of Collapse'', in Piran, T., ed., Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, (World Scientific, Singapore, 1999). For a related online version see: C. M. Chambers, et al., ``Some Cosmological Tails of Collapse'', (October, 1997), [Online Los Alamos Archive Preprint]: cited on 2 Oct 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9710015 .
Jump To The First Citation Point In The Article73
Chandrasekhar, S., and Hartle, J. B., ``On Crossing the Cauchy Horizon of a Reissner-Nordström Black Hole'', Proc. R. Soc. London, Ser. A, 384, 301-315, (1982).
Jump To The First Citation Point In The Article74
Chernoff, D. F., and Barrow, J. D., ``Chaos in the Mixmaster Universe'', Phys. Rev. Lett., 50, 134-137, (1983).
Jump To The First Citation Point In The Article75
Chiba, T., ``Apparent Horizon Formation and Hoop Conjecture in Non-axisymmetric Spaces'', Phys. Rev. D, 60, 044003, (1999). For a related online version see: T. Chiba, ``Apparent Horizon Formation and Hoop Conjecture in Non-axisymmetric Spaces'', (April, 1999), [Online Los Alamos Archive Preprint]: cited on 4 Jul 99, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9904054 .
Jump To The First Citation Point In The Article76
Chiba, T., Nakamura, T., Nakao, K., and Sasaki, M., ``Hoop Conjecture for Apparent Horizon Formation'', Class. Quantum Grav., 11, 431-441, (1994).
Jump To The First Citation Point In The Article77
Choptuik, M. W., ``Animations of SU(2) EYM Collapse'', (1999), [Online HTML Document]: cited on 20 June 2001, External Linkhttp://laplace.physics.ubc.ca/People/matt/Movies/YM/index.html .
Jump To The First Citation Point In The Article78
Choptuik, M. W., ``Universality and Scaling in Gravitational Collapse of a Massive Scalar Field'', Phys. Rev. Lett., 70, 9-12, (1993).
Jump To The First Citation Point In The Article79
Choptuik, M. W., Chmaj, T., and Bizon, P., ``Critical Behavior in Gravitational Collapse of a Yang-Mills Field'', Phys. Rev. Lett., 77, 424-427, (1996). For a related online version see: M. W. Choptuik, et al., ``Critical Behavior in Gravitational Collapse of a Yang-Mills Field'', (March, 1996), [Online Los Alamos Archive Preprint]: cited on 27 Mar 96, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9603051 .
Jump To The First Citation Point In The Article80
Christodoulou, D., ``A Mathematical Theory of Gravitational Collapse'', Commun. Math. Phys., 109, 613-647, (1987).
Jump To The First Citation Point In The Article81
Christodoulou, D., ``The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field'', Ann. Math., 149, 183-217, (1999).
Jump To The First Citation Point In The Article82
Chrusciel, P. T., ``On Space-Times with tex2html_wrap_inline3004 Symmetrical Compact Cauchy Surfaces'', Ann. Phys. (N. Y.), 202, 100-150, (1990).
Jump To The First Citation Point In The Article83
Chrusciel, P. T., Isenberg, J., and Moncrief, V., ``Strong Cosmic Censorship in Polarised Gowdy Spacetimes'', Ann. Phys. (N. Y.), 7, 1671-1680, (1990).
Jump To The First Citation Point In The Article84
Coley, A., ``No Chaos in Brane-World Cosmology'', (October, 2001), [Online Los Alamos Archive Preprint]: cited on 12 Oct 2001, External Linkhttp://xxx.lanl.gov/abs/hep-th/0110117 .
Jump To The First Citation Point In The Article85
Cornish, N. J., and Levin, J., ``The Mixmaster Universe: A Chaotic Farey Tale'', Phys. Rev. D, 55, 7489-7510, (1997). For a related online version see: N. J. Cornish, et al., ``The Mixmaster Universe: A Chaotic Farey Tale'', (December, 1996), [Online Los Alamos Archive Preprint]: cited on 30 Dec 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9612066 .
Jump To The First Citation Point In The Article86
Cornish, N. J., and Levin, J., ``The Mixmaster Universe is Chaotic'', Phys. Rev. Lett., 78, 998-1001, (1997). For a related online version see: N. J. Cornish, et al., ``The Mixmaster Universe is Chaotic'', (May, 1996), [Online Los Alamos Archive Preprint]: cited on 6 Nov 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9605029 .
Jump To The First Citation Point In The Article87
Cotsakis, S., Demaret, J., DeRop, Y., and Querella, L., ``Mixmaster Universe in Fourth-Order Gravity Theories'', Phys. Rev. D, 48, 4595-4603, (1993).
Jump To The First Citation Point In The Article88
Damour, T., and Henneaux, M., ``Chaos in Superstring Cosmology'', Phys. Rev. Lett., 85, 920-923, (2000). For a related online version see: T. Damour, et al., ``Chaos in Superstring Cosmology'', (March, 2000), [Online Los Alamos Archive Preprint]: cited on 16 Mar 2000, External Linkhttp://xxx.lanl.gov/abs/hep-th/0003139 .
Jump To The First Citation Point In The Article89
Damour, T., and Henneaux, M., ``Oscillatory Behaviour in Homogeneous String Cosmology Models'', Phys. Lett. B, 488, 108-116, (2000). For a related online version see: T. Damour, et al., ``Oscillatory Behaviour in Homogeneous String Cosmology Models'', (June, 2000), [Online Los Alamos Archive Preprint]: cited on 21 Jun 2000, External Linkhttp://xxx.lanl.gov/abs/hep-th/0006171 .
Jump To The First Citation Point In The Article90
Deruelle, N., and Langlois, D., ``Long Wavelength Iteration of Einstein's Equations near a Spacetime Singularity'', Phys. Rev. D, 52, 2007-2019, (1995). For a related online version see: N. Deruelle, et al., ``Long Wavelength Iteration of Einstein's Equations near a Spacetime Singularity'', (November, 1994), [Online Los Alamos Archive Preprint]: cited on 15 Nov 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/94110 .
Jump To The First Citation Point In The Article91
Donets, E. E., Gal'tsov, D. V., and Zotov, M. Yu., ``Internal Structure of Einstein-Yang-Mills Black Holes'', Phys. Rev. D, 56, 3459-3465, (1997). For a related online version see: E. E. Donets, et al., ``Internal Structure of Einstein-Yang-Mills Black Holes'', (December, 1996), [Online Los Alamos Archive Preprint]: cited on 23 Apr 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9612067 .
Jump To The First Citation Point In The Article92
Droz, S., ``Numerical Investigation of Black Hole Interiors'', Helv. Phys. Acta, 69, 257-260, (1996). For a related online version see: S. Droz, ``Numerical Investigation of Black Hole Interiors'', (August, 1996), [Online Los Alamos Archive Preprint]: cited on 14 Aug 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9608034 .
Jump To The First Citation Point In The Article93
Eardley, D., Isenberg, J., Marsden, J., and Moncrief, V., ``Homothetic and Conformal Symmetries of Solutions to Einstein's Equations'', Commun. Math. Phys., 106, 137-158, (1986).
Jump To The First Citation Point In The Article94
Eardley, D., Liang, E., and Sachs, R., ``Velocity-Dominated Singularities in Irrotational Dust Cosmologies'', J. Math. Phys., 13, 99-107, (1972).
Jump To The First Citation Point In The Article95
Eardley, D. M., Hirschmann, E. W., and Horne, J. H., ``S-Duality at the Black Hole Threshold in Gravitational Collapse'', Phys. Rev. D, 52, 5397-5401, (1995). For a related online version see: D. M. Eardley, et al., ``S-Duality at the Black Hole Threshold in Gravitational Collapse'', (May, 1995), [Online Los Alamos Archive Preprint]: cited on 22 May 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9505041 .
Jump To The First Citation Point In The Article96
Echeverria, F., ``Gravitational Collapse of an Infinite, Cylindrical Dust Shell'', Phys. Rev. D, 47, 2271-2282, (1993).
Jump To The First Citation Point In The Article97
Ellis, G. F. R., and Schmidt, B. G., ``Singular Space-Times'', Gen. Relativ. Gravit., 8, 915-953, (1977).
Jump To The First Citation Point In The Article98
Evans, C. R., and Coleman, J. S., ``Critical Phenomena and Self-Similarity in the Gravitational Collapse of Radiation Fluid'', Phys. Rev. Lett., 72, 1782-1785, (1994). For a related online version see: C. R. Evans, et al., ``Observation of Critical Phenomena and Self-Similarity in the Gravitational Collapse of Radiation Fluid'', (February, 1994), [Online Los Alamos Archive Preprint]: cited on 22 Feb 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9402041 .
Jump To The First Citation Point In The Article99
Ferraz, K., Francisco, G., and Matsas, G. E. A., ``Chaotic and Nonchaotic Behavior in the Mixmaster Dynamics'', Phys. Lett. A, 156, 407, (1991).
Jump To The First Citation Point In The Article100
Finn, L. S., ``A Numerical Approach to Binary Black Hole Coalescence'', in Francaviglia, M., Longhi, G., Lusanna, L., and Sorace, E., eds., General Relativity and Gravitation, 147-166, (World Scientific, Singapore, 1997). For a related online version see: L. S. Finn, ``A Numerical Approach to Binary Black Hole Coalescence'', (March, 1996), [Online Los Alamos Archive Preprint]: cited on 5 Mar 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9603004 .
Jump To The First Citation Point In The Article101
Fleck, J. A., Morris, J. R., and Feit, M. D., ``Time-Dependent Propagation of High Energy Laser Beams through the Atmosphere'', Appl. Phys., 10, 129-160, (1976).
Jump To The First Citation Point In The Article102
Francisco, G., and Matsas, G. E. A., ``Qualitative and Numerical Study of Bianchi IX Models'', Gen. Relativ. Gravit., 20, 1047-1054, (1988).
Jump To The First Citation Point In The Article103
Friedrich, H., ``On Static and Radiative Spacetimes'', Commun. Math. Phys., 119, 51-73, (1988).
Jump To The First Citation Point In The Article104
Gal'tsov, D. V., and Donets, E. E., ``Power-Law Mass Inflation in Einstein-Yang-Mills-Higgs Black Holes'', (June, 1997), [Online Los Alamos Archive Preprint]: cited on 22 Jun 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9706067 .
Jump To The First Citation Point In The Article105
Gal'tsov, D. V., Donets, E. E., and Zotov, M. Yu., ``Singularities Inside Non-Abelian Black Holes'', JETP Lett., 65, 895-901, (1997). For a related online version see: D. V. Gal'tsov, et al., ``Singularities Inside Non-Abelian Black Holes'', (June, 1997), [Online Los Alamos Archive Preprint]: cited on 20 Jun 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9706063 .
Jump To The First Citation Point In The Article106
Gal'tsov, D. V., Donets, E. E., and Zotov, M. Yu., ``Singularities inside Hairy Black Holes'', in Piran, T., ed., Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, (World Scientific, Singapore, 1999). For a related online version see: D. V. Gal'tsov, et al., ``Singularities inside Hairy Black Holes'', (December, 1997), [Online Los Alamos Archive Preprint]: cited on 1 Dec 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9712003 .
Jump To The First Citation Point In The Article107
Garfinkle, D., ``Harmonic Coordinate Method for Simulating Generic Singularities'', (October, 2001), [Online Los Alamos Archive Preprint]: cited on 1 Oct 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0110013 .
Jump To The First Citation Point In The Article108
Garfinkle, D., ``Asymptotically Flat Space-Times Have No Conformal Killing Fields'', J. Math. Phys., 28, 28-32, (1987).
Jump To The First Citation Point In The Article109
Garfinkle, D., ``Choptuik Scaling in Null Coordinates'', Phys. Rev. D, 51, 5558-5561, (1995). For a related online version see: D. Garfinkle, ``Choptuik Scaling in Null Coordinates'', (December, 1994), [Online Los Alamos Archive Preprint]: cited on 1 Dec 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9412008 .
Jump To The First Citation Point In The Article110
Garfinkle, D., ``Choptuik Scaling and the Scale Invariance of Einstein's Equation'', Phys. Rev. D, 56, 3169-3173, (1997). For a related online version see: D. Garfinkle, ``Choptuik Scaling and the Scale Invariance of Einstein's Equation'', (December, 1996), [Online Los Alamos Archive Preprint]: cited on 31 Jul 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9612015 .
Jump To The First Citation Point In The Article111
Garfinkle, D., ``Numerical Simulations of Gowdy Spacetimes on tex2html_wrap_inline3006 '', Phys. Rev. D, 60, 104010, (1999). For a related online version see: D. Garfinkle, ``Numerical Simulations of Gowdy Spacetimes on tex2html_wrap_inline3006 '', (June, 1999), [Online Los Alamos Archive Preprint]: cited on 4 Jun 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9906019 .
Jump To The First Citation Point In The Article112
Garfinkle, D., ``Exact Solution for 2+1-Dimensional Critical Collapse'', Phys. Rev. D, 63, 044007, (2001). For a related online version see: D. Garfinkle, ``An Exact Solution for 2+1 Dimensional Critical Collapse'', (August, 2000), [Online Los Alamos Archive Preprint]: cited on 12 Nov 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0008023 .
Jump To The First Citation Point In The Article113
Garfinkle, D., and Duncan, G. C., ``Scaling of Curvature in Sub-Critical Gravitational Collapse'', Phys. Rev. D, 58, 064024, (1998). For a related online version see: D. Garfinkle, et al., ``Scaling of Curvature in Sub-Critical Gravitational Collapse'', (February, 1998), [Online Los Alamos Archive Preprint]: cited on 24 Feb 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9802061 .
Jump To The First Citation Point In The Article114
Garfinkle, D., and Duncan, G. C., ``Numerical Evolution of Brill Waves'', Phys. Rev. D, 63, 044011, (2001). For a related online version see: D. Garfinkle, et al., ``Numerical Evolution of Brill Waves'', (June, 2000), [Online Los Alamos Archive Preprint]: cited on 20 Oct 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0006073 .
Jump To The First Citation Point In The Article115
Garfinkle, D., and Gundlach, C., ``Symmetry-Seeking Spacetime Coordinates'', Class. Quantum Grav., 16, 4111-4123, (1999). For a related online version see: D. Garfinkle, et al., ``Symmetry-Seeking Spacetime Coordinates'', (August, 1999), [Online Los Alamos Archive Preprint]: cited on 28 Oct 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9908016 .
Jump To The First Citation Point In The Article116
Garfinkle, D., and Meyer, K., ``Scale Invariance and Critical Gravitational Collapse'', Phys. Rev. D, 59, 0640003, (1999). For a related online version see: D. Garfinkle, et al., ``Scale Invariance and Critical Gravitational Collapse'', (June, 1998), [Online Los Alamos Archive Preprint]: cited on 12 Aug 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9806052 .
Jump To The First Citation Point In The Article117
Gentle, A. P., and Miller, W. A., ``A Fully 3 + 1-D Regge Calculus Model of the Kasner Cosmology'', Class. Quantum Grav., 15, 389-405, (1998). For a related online version see: A. P. Gentle, et al., ``A Fully 3 + 1-D Regge Calculus Model of the Kasner Cosmology'', (June, 1997), [Online Los Alamos Archive Preprint]: cited on 12 Jun 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9706034 .
Jump To The First Citation Point In The Article118
Gnedin, M. L., and Gnedin, N. Y., ``Destruction of the Cauchy Horizon in the Reissner-Nordström Black Hole'', Class. Quantum Grav., 10, 1083-1102, (1993).
Jump To The First Citation Point In The Article119
Goldwirth, D. S., and Piran, T., ``Gravitational Collapse of Massless Scalar Field and Cosmic Censorship'', Phys. Rev. D, 36, 3575-3581, (1987).
Jump To The First Citation Point In The Article120
Gonçalves, S. M. C. V., and Moss, I. G., ``Black Hole Formation from Massive Scalar Fields'', Class. Quantum Grav., 14, 2607-2615, (1997). For a related online version see: S. M. C. V. Gonçalves, et al., ``Black Hole Formation from Massive Scalar Fields'', (February, 1997), [Online Los Alamos Archive Preprint]: cited on 27 Feb 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9702059 .
Jump To The First Citation Point In The Article121
Gowdy, R. H., ``Gravitational Waves in Closed Universes'', Phys. Rev. Lett., 27, 826, (1971).
Jump To The First Citation Point In The Article122
Grubisic, B., ``Velocity Dominance near a Crushing Singularity'', in Brown, J. D., Chu, M. T., Ellison, D. C., and Plemmons, R. J., eds., Proceedings of the Cornelius Lanczos Symposium, (SIAM, Philadelphia, 1994). For a related online version see: B. Grubisic, ``Velocity Dominance near a Crushing Singularity'', (April, 1994), [Online Los Alamos Archive Preprint]: cited on 27 Apr 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9404056 .
Jump To The First Citation Point In The Article123
Grubisic, B., and Moncrief, V., ``Asymptotic Behavior of the tex2html_wrap_inline2066 Gowdy Space-times'', Phys. Rev. D, 47, 2371-2382, (1993). For a related online version see: B. Grubisic, et al., ``Asymptotic Behavior of the tex2html_wrap_inline2066 Gowdy Space-times'', (September, 1992), [Online Los Alamos Archive Preprint]: cited on 15 Sep 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9209006 .
Jump To The First Citation Point In The Article124
Grubisic, B., and Moncrief, V., ``Mixmaster Spacetime, Geroch's Transformation, and Constants of Motion'', Phys. Rev. D, 49, 2792-2800, (1994). For a related online version see: B. Grubisic, et al., ``Mixmaster Spacetime, Geroch's Transformation, and Constants of Motion'', (September, 1993), [Online Los Alamos Archive Preprint]: cited on 9 Sep 1993, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9309007 .
Jump To The First Citation Point In The Article125
Gundlach, C., ``Critical Phenomena in Gravitational Collapse'', (June, 1996), [Online Los Alamos Archive Preprint]: cited on 12 Jun 1996, External Linkhttp://xxx.lanl.gov/ps/gr-qc/9606023 . Submitted to Banach Centre Proceedings .
Jump To The First Citation Point In The Article126
Gundlach, C., ``Critical Phenomena in Gravitational Collapse'', Living Rev. Relativity, 2, 1999-4gundlach, (December, 1999), [Online Journal Article]: cited on 28 May 2001, http://www.livingreviews.org/Articles/Volume2/1999-4gundlach .
Jump To The First Citation Point In The Article127
Gundlach, C., ``The Choptuik Spacetime as an Eigenvalue Problem'', Phys. Rev. Lett., 75, 3214-3217, (1995). For a related online version see: C. Gundlach, ``The Choptuik Spacetime as an Eigenvalue Problem'', (July, 1995), [Online Los Alamos Archive Preprint]: cited on 13 Sep 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9507054 .
Jump To The First Citation Point In The Article128
Gundlach, C., ``Echoing and Scaling in Einstein-Yang-Mills Critical Collapse'', Phys. Rev. D, 55, 6002-6013, (1997). For a related online version see: C. Gundlach, ``Echoing and Scaling in Einstein-Yang-Mills Critical Collapse'', (October, 1996), [Online Los Alamos Archive Preprint]: cited on 4 Nov 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9610069 .
Jump To The First Citation Point In The Article129
Gundlach, C., ``Understanding Critical Collapse of a Scalar Field'', Phys. Rev. D, 55, 695-713, (1997). For a related online version see: C. Gundlach, ``Understanding Critical Collapse of a Scalar Field'', (April, 1996), [Online Los Alamos Archive Preprint]: cited on 8 Apr 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9604019 .
Jump To The First Citation Point In The Article130
Gundlach, C., ``Critical Phenomena in Gravitational Collapse'', Adv. Theor. Math. Phys., 2, 1-49, (1998). For a related online version see: C. Gundlach, ``Critical Phenomena in Gravitational Collapse'', (December, 1997), [Online Los Alamos Archive Preprint]: cited on 27 Jan 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9712084 .
Jump To The First Citation Point In The Article131
Gundlach, C., ``Nonspherical Perturbations of Critical Collapse and Cosmic Censorship'', Phys. Rev. D, 57, 7075-7079, (1998). For a related online version see: C. Gundlach, ``Nonspherical Perturbations of Critical Collapse and Cosmic Censorship'', (October, 1997), [Online Los Alamos Archive Preprint]: cited on 12 Oct 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9710066 .
Jump To The First Citation Point In The Article132
Gundlach, C., and Martin-Garcia, J. M., ``Charge Scaling and Universality in Critical Collapse'', Phys. Rev. D, 54, 7353-7360, (1996). For a related online version see: C. Gundlach, et al., ``Charge Scaling and Universality in Critical Collapse'', (June, 1996), [Online Los Alamos Archive Preprint]: cited on 17 Sep 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9606072 .
Jump To The First Citation Point In The Article133
Halpern, P., ``Chaos in the Long-Term Behavior of Some Bianchi-type VIII Models'', Gen. Relativ. Gravit., 19, 73-94, (1987).
Jump To The First Citation Point In The Article134
Hamadé, R. S., Horne, J. H., and Stewart, J. M., ``Continuous Self-Similarity and S -Duality'', Class. Quantum Grav., 13, 2241-2254, (1996). For a related online version see: R. S. Hamadé, et al., ``Continuous Self-Similarity and S -Duality'', (November, 1995), [Online Los Alamos Archive Preprint]: cited on 7 Nov 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9511024 .
Jump To The First Citation Point In The Article135
Hamadé, R. S., and Stewart, J. M., ``The Spherically Symmetric Collapse of a Massive Scalar Field'', Class. Quantum Grav., 13, 497-512, (1996). For a related online version see: R. S. Hamadé, et al., ``The Spherically Symmetric Collapse of a Massive Scalar Field'', (June, 1995), [Online Los Alamos Archive Preprint]: cited on 22 Jun 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9506044 .
Jump To The First Citation Point In The Article136
Hara, T., Koike, T., and Adachi, S., ``Renormalization Group and Critical Behavior in Gravitational Collapse'', (July, 1996), [Online Los Alamos Archive Preprint]: cited on 28 May 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9607010 .
Jump To The First Citation Point In The Article137
Harada, T., Iguchi, H., and Nakao, K., ``Naked Singularity Explosion'', Phys. Rev. D, 61, 101502, (2000). For a related online version see: T. Harada, et al., ``Naked Singularity Explosion'', (March, 2000), [Online Los Alamos Archive Preprint]: cited on 9 Mar 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0003036 .
Jump To The First Citation Point In The Article138
Harada, T., Iguchi, H., and Nakao, K., ``Power, Energy, and Spectrum of a Naked Singularity Explosion'', Phys. Rev. D, 62, 084037, (2000). For a related online version see: T. Harada, et al., ``Power, Energy, and Spectrum of a Naked Singularity Explosion'', (May, 2000), [Online Los Alamos Archive Preprint]: cited on 12 Jul 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0005114 .
Jump To The First Citation Point In The Article139
Hawking, S. W., ``The Occurrence of Singularities in Cosmology. III. Causality and Singularities'', Proc. R. Soc. London, Ser. A, 300, 182-201, (1967).
Jump To The First Citation Point In The Article140
Hawking, S. W., and Ellis, G. F. R., The Large Scale Structure of Space-Time, (Cambridge University Press, Cambridge, 1973).
Jump To The First Citation Point In The Article141
Hawking, S. W., and Penrose, R., ``The Singularities of Gravitational Collapse and Cosmology'', Proc. R. Soc. London, Ser. A, 314, 529-548, (1970).
Jump To The First Citation Point In The Article142
Hern, S. D., Numerical Relativity and Inhomogeneous Cosmologies, PhD Thesis, (Cambridge University, Cambridge, 2000). For a related online version see: S. D. Hern, ``Numerical Relativity and Inhomogeneous Cosmologies'', (April, 2000), [Online Los Alamos Archive Preprint]: cited on 12 Apr 2000, External Linkhttp://xxx.lanl.gov/gr-qc/0004036 .
Jump To The First Citation Point In The Article143
Hern, S. J., and Stewart, J. M., ``The Gowdy tex2html_wrap_inline1988 Cosmologies Revisited'', Class. Quantum Grav., 15, 1581-1593, (1998). For a related online version see: S. J. Hern, et al., ``The Gowdy tex2html_wrap_inline1988 Cosmologies Revisited'', (August, 1997), [Online Los Alamos Archive Preprint]: cited on 5 May 1998, External Linkhttp://xxx.lanl.gov/gr-qc/9708038 .
Jump To The First Citation Point In The Article144
Hirschmann, E. W., and Eardley, D. M., ``Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field'', Phys. Rev. D, 52, 5850-5856, (1995). For a related online version see: E. W. Hirschmann, et al., ``Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field'', (June, 1995), [Online Los Alamos Archive Preprint]: cited on 21 Aug 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9506078 .
Jump To The First Citation Point In The Article145
Hirschmann, E. W., and Eardley, D. M., ``Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field'', Phys. Rev. D, 51, 4198-4207, (1995). For a related online version see: E. W. Hirschmann, et al., ``Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field'', (December, 1994), [Online Los Alamos Archive Preprint]: cited on 21 Dec 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9412066 .
Jump To The First Citation Point In The Article146
Hirschmann, E. W., and Eardley, D. M., ``Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field'', Phys. Rev. D, 56, 4696-4705, (1997). For a related online version see: E. W. Hirschmann, et al., ``Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field'', (November, 1995), [Online Los Alamos Archive Preprint]: cited on 17 Nov 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9511052 .
Jump To The First Citation Point In The Article147
Hobill, D. W., Bernstein, D., Welge, M., and Simkins, D., ``The Mixmaster Cosmology as a Dynamical System'', Class. Quantum Grav., 8, 1155-1171, (1991).
Jump To The First Citation Point In The Article148
Hobill, D. W., Burd, A., and Coley, A., eds., Deterministic Chaos in General Relativity, (Plenum, New York, 1994).
Jump To The First Citation Point In The Article149
Hobill, D. W., and Webster, P. S., ``Trapped Surface Structure in Brill Wave Evolution'', Talk presented at GR16 and private communication.
Jump To The First Citation Point In The Article150
Hod, S., ``Radiative Tail of Realistic Rotating Gravitational Collapse'', Phys. Rev. Lett., 84, 10-13, (2000). For a related online version see: S. Hod, ``Radiative Tail of Realistic Rotating Gravitational Collapse'', (July, 1999), [Online Los Alamos Archive Preprint]: cited on 2 Jan 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9907096 .
Jump To The First Citation Point In The Article151
Hod, S., and Piran, T., ``Critical Behavior and Universality in Gravitational Collapse of a Charged Scalar Field'', Phys. Rev. D, 55, 3485-3496, (1997). For a related online version see: S. Hod, et al., ``Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field'', (July, 1996), [Online Los Alamos Archive Preprint]: cited on 31 Jul 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9606093 .
Jump To The First Citation Point In The Article152
Hod, S., and Piran, T., ``Fine-Structure of Choptuik's Mass-Scaling Relation'', Phys. Rev. D, 55, 440-442, (1997). For a related online version see: S. Hod, et al., ``Fine-Structure of Choptuik's Mass-Scaling Relation'', (June, 1996), [Online Los Alamos Archive Preprint]: cited on 4 Jul 1996, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9606087 .
Jump To The First Citation Point In The Article153
Hod, S., and Piran, T., ``The Inner Structure of Black Holes'', Gen. Relativ. Gravit., 30, 1555-1562, (1998). For a related online version see: S. Hod, et al., ``The Inner Structure of Black Holes'', (February, 1999), [Online Los Alamos Archive Preprint]: cited on 2 Feb 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9902008 .
Jump To The First Citation Point In The Article154
Hod, S., and Piran, T., ``Mass Inflation in Dynamical Gravitational Collapse of a Charged Scalar Field'', Phys. Rev. Lett., 81, 1554-1557, (1998). For a related online version see: S. Hod, et al., ``Mass-Inflation in Dynamical Gravitational Collapse of a Charged Scalar-Field'', (March, 1998), [Online Los Alamos Archive Preprint]: cited on 1 Mar 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9803004 .
Jump To The First Citation Point In The Article155
Hübner, P., ``How to Avoid Artificial Boundaries in the Numerical Calculation of Black Hole Spacetimes'', (April, 1998), [Online Los Alamos Archive Preprint]: cited on 8 Mar 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9804065 .
Jump To The First Citation Point In The Article156
Hübner, P., ``A Method for Calculating the Structure of (Singular) Spacetimes in the Large'', Phys. Rev. D, 53, 701-721, (1996). For a related online version see: P. Hübner, ``A Method for Calculating the Structure of (Singular) Spacetimes in the Large'', (September, 1994), [Online Los Alamos Archive Preprint]: cited on 14 Sep 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/940902 .
Jump To The First Citation Point In The Article157
Hübner, P., ``Numerical Approach to the Global Structure of Space-Times'', Helv. Phys. Acta, 69, 316-320, (1996).
Jump To The First Citation Point In The Article158
Husa, S., Lechner, C., Pürrer, M., Thornburg, J., and Aichelburg, P. C., ``Type II Critical Collapse of a Self-Gravitating Nonlinear tex2html_wrap_inline1938 Model'', Phys. Rev. D, 62, 104007, (2000). For a related online version see: S. Husa, et al., ``Type II Critical Collapse of a Self-Gravitating Nonlinear tex2html_wrap_inline1938 Model'', (February, 2000), [Online Los Alamos Archive Preprint]: cited on 14 Sep 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0002067 .
Jump To The First Citation Point In The Article159
Iguchi, H., and Harada, T., ``Physical Aspects of Naked Singularity Explosion: How Does a Naked Singularity Explode?'', Class. Quantum Grav., 18, 3681-3700, (2001). For a related online version see: H. Iguchi, et al., ``Physical Aspects of Naked Singularity Explosion - How Does a Naked Singularity Explode? -'', (July, 2001), [Online Los Alamos Archive Preprint]: cited on 31 Jul 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0107099 .
Jump To The First Citation Point In The Article160
Iguchi, H., Nakao, K., and Harada, T., ``Gravitational Waves around a Naked Singularity: Odd-Parity Perturbation of Lemaître-Tolman-Bondi Space-Time'', Phys. Rev. D, 57, 7262-7273, (1998). For a related online version see: H. Iguchi, et al., ``Gravitational Waves around a Naked Singularity - Odd-Parity Perturbation of Lemaî tre-Tolman-Bondi Space-Time -'', (April, 1998), [Online Los Alamos Archive Preprint]: cited on 6 Apr 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9804015 .
Jump To The First Citation Point In The Article161
Iguchi, H., Nakao, K., and Harada, T., ``Gravitational Waves around a Naked Singularity. II -- Even-Parity Perturbation --'', Prog. Theor. Phys., 103, 53-72, (2000). For a related online version see: H. Iguchi, et al., ``Gravitational Waves around a Naked Singularity. II - Even-Parity Perturbation -'', (April, 1999), [Online Los Alamos Archive Preprint]: cited on 4 Feb 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9911063 .
Jump To The First Citation Point In The Article162
Iguchi, O., Hosoya, A., and Koike, T., ``Renormalization Group Approach to the Einstein Equation in Cosmology'', Phys. Rev. D, 57, 3340-3350, (1998). For a related online version see: O. Iguchi, et al., ``Renormalization Group Approach to Einstein Equation in Cosmology'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 16 Sep 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9709042 .
Jump To The First Citation Point In The Article163
Isenberg, J., and Kichenassamy, S., ``Asymptotic Behavior in Polarized tex2html_wrap_inline2040 -Symmetric Vacuum Spacetimes'', J. Math. Phys., 40, 340-352, (1999).
Jump To The First Citation Point In The Article164
Isenberg, J., and Moncrief, V., ``Asymptotic Behavior in Polarized U (1)-Symmetric Vacuum Spacetimes'', Unpublished.
Jump To The First Citation Point In The Article165
Isenberg, J. A., and Moncrief, V., ``Asymptotic Behavior of the Gravitational Field and the Nature of Singularities in Gowdy Spacetimes'', Ann. Phys. (N. Y.), 199, 84-122, (1990).
Jump To The First Citation Point In The Article166
Israel, W., ``The Formation of Black Holes in Nonspherical Collapse and Cosmic Censorship'', Can. J. Phys., 64, 120-127, (1986).
Jump To The First Citation Point In The Article167
Israel, W., ``Must Nonspherical Collapse Produce Black Holes? A Gravitational Confinement Theorem'', Phys. Rev. Lett., 56, 789-791, (1986).
Jump To The First Citation Point In The Article168
Jantzen, R. T., ``Finite-Dimensional Einstein-Maxwell-Scalar Field System'', Phys. Rev. D, 33, 2121-2135, (1986).
Jump To The First Citation Point In The Article169
Jantzen, R. T., ``Spatially Homogeneous Dynamics: A Unified Picture'', in Ruffini, R., and Melchiorri, F., eds., Gamov Cosmology, 61-147, (North Holland, Amsterdam, 1987). For a related online version see: R. T. Jantzen, ``Spatially Homogeneous Dynamics: A Unified Picture'', (February, 2001), [Online Los Alamos Archive Preprint]: cited on 12 Feb 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0102035 .
Jump To The First Citation Point In The Article170
Johnson, G., ``What a Physicist Finds Obscene'', The New York Times, (16 Feb 1997).
Jump To The First Citation Point In The Article171
Kasner, E., ``Solutions of the Einstein Equations Involving Functions of Only One Variable'', Trans. Am. Math. Soc., 27, 155-162, (1925).
Jump To The First Citation Point In The Article172
Khalatnikov, I. M., Lifshitz, E. M., Khanin, K. M., Shchur, L. N., and Sinai, Ya. G., ``On the Stochasticity in Relativistic Cosmology'', J. Stat. Phys., 38, 97-114, (1985).
Jump To The First Citation Point In The Article173
Kichenassamy, S., and Rendall, A. D., ``Analytic Description of Singularities in Gowdy Spacetimes'', Class. Quantum Grav., 15, 1339-1355, (1998).
Jump To The First Citation Point In The Article174
Kirillov, A. A., ``The Nature of the Spatial Distribution of Metric Inhomogeneities in the General Solution of the Einstein Equations near a Cosmological Singularity'', JETP, 76, 355-358, (1993).
Jump To The First Citation Point In The Article175
Kirillov, A. A., and Kochnev, A. A., ``Cellular Structure of Space near a Singularity in Time in Einstein's Equations'', JETP Lett., 46, 435-438, (1987).
Jump To The First Citation Point In The Article176
Koike, T., Hara, T., and Adachi, S., ``Critical Behavior in Gravitational Collapse of Radiation Fluid: A Renormalization Group (Linear Perturbation) Analysis'', Phys. Rev. Lett., 74, 5170-5173, (1995).
Jump To The First Citation Point In The Article177
LeBlanc, V. G., ``Asymptotic States of Magnetic Bianchi I Cosmologies'', Class. Quantum Grav., 14, 2281-2301, (1997).
Jump To The First Citation Point In The Article178
LeBlanc, V. G., Kerr, D., and Wainwright, J., ``Asymptotic States of Magnetic Bianchi VI tex2html_wrap_inline2006 Cosmologies'', Class. Quantum Grav., 12, 513-541, (1995).
Jump To The First Citation Point In The Article179
Libson, J., Masso, J., Seidel, E., Suen, W.-M., and Walker, P., ``Event Horizons in Numerical Relativity I: Methods and Tests'', Phys. Rev. D, 53, 4335-4350, (1996). For a related online version see: J. Libson, et al., ``Event Horizons in Numerical Relativity I: Methods and Tests'', (December, 1994), [Online Los Alamos Archive Preprint]: cited on 22 Dec 1994, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9412068 .
Jump To The First Citation Point In The Article180
Liebling, S. L., Hirschmann, E. W., and Isenberg, J., ``Critical Phenomena in Nonlinear Sigma Models'', J. Math. Phys., 41, 5691-5700, (2000). For a related online version see: S. L. Liebling, et al., ``Critical Phenomena in Nonlinear Sigma Models'', (November, 1999), [Online Los Alamos Archive Preprint]: cited on 1 Jun 2000, External Linkhttp://xxx.lanl.gov/abs/math-ph/9911020 .
Jump To The First Citation Point In The Article181
Ma, P. K.-H., and Wainwright, J., ``A Dynamical Systems Approach to the Oscillatory Singularity in Bianchi Cosmologies'', in Hobill, D. W., Burd, A., and Coley, A., eds., Deterministic Chaos in General Relativity, (Plenum, New York, 1994).
Jump To The First Citation Point In The Article182
MacCallum, M., ``Anisotropic and Inhomogeneous Relativistic Cosmologies'', in Hawking, S. W., and Israel, W., eds., General Relativity, an Einstein Centenary Survey, chapter 11, (Cambridge University, Cambridge, 1979).
Jump To The First Citation Point In The Article183
Maison, D., ``Non-Universality of Critical Behavior in Spherically Symmetric Gravitational Collapse'', Phys. Lett. B, 366, 82-84, (1966). For a related online version see: D. Maison, ``Non-Universality of Critical Behavior in Spherically Symmetric Gravitational Collapse'', (April, 1995), [Online Los Alamos Archive Preprint]: cited on 05 Apr 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9504008 .
Jump To The First Citation Point In The Article184
Masso, J., Seidel, E., Suen, W.-M., and Walker, P., ``Event Horizons in Numerical Relativity II: Analyzing the Horizon'', Phys. Rev. D, 59, 064015, (1999). For a related online version see: J. Masso, et al., ``Event Horizons in Numerical Relativity II: Analyzing the Horizon'', (April, 1998), [Online Los Alamos Archive Preprint]: cited on 23 Apr 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9804059 .
Jump To The First Citation Point In The Article185
Mellor, F., and Moss, I., ``Stability of Black Holes in de Sitter Space'', Phys. Rev. D, 41, 403-409, (1990).
Jump To The First Citation Point In The Article186
Mellor, F., and Moss, I., ``A Reassessment of the Stability of the Cauchy Horizon in de Sitter Space'', Class. Quantum Grav., 9, L43-L46, (1992).
Jump To The First Citation Point In The Article187
Misner, C. W., ``Mixmaster Universe'', Phys. Rev. Lett., 22, 1071-1074, (1969).
Jump To The First Citation Point In The Article188
Moncrief, V., ``Global Properties of Gowdy Spacetimes with tex2html_wrap_inline2066 Topology'', Ann. Phys. (N. Y.), 132, 87-107, (1981).
Jump To The First Citation Point In The Article189
Moncrief, V., ``Finite-Difference Approach to Solving Operator Equations of Motion in Quantum Theory'', Phys. Rev. D, 28, 2485-2490, (1983).
Jump To The First Citation Point In The Article190
Moncrief, V., ``Reduction of Einstein's Equations for Vacuum Space-Times with Spacelike U (1) Isometry Groups'', Ann. Phys. (N. Y.), 167, 118-142, (1986).
Jump To The First Citation Point In The Article191
Moncrief, V., ``Spacetime Singularities and Cosmic Censorship'', in Francaviglia, M., Longhi, G., Lusanna, L., and Sorace, E., eds., General Relativity and Gravitation, 259-276, (World Scientific, Singapore, 1997).
Jump To The First Citation Point In The Article192
Montani, G., ``On the General Behavior of the Universe near the Cosmological Singularity'', Class. Quantum Grav., 12, 2505-2517, (1995).
Jump To The First Citation Point In The Article193
Moser, A. A., Matzner, R. A., and Ryan, Jr., M. P., ``Numerical Solutions for Symmetric Bianchi Type IX Universes'', Ann. Phys. (N. Y.), 79, 558-579, (1973).
Jump To The First Citation Point In The Article194
Motter, A. E., and Letelier, P. S., ``Mixmaster Chaos'', Phys. Lett. A, 285, 127-131, (2001). For a related online version see: A. E. Motter, et al., ``Mixmaster Chaos'', (November, 2000), [Online Los Alamos Archive Preprint]: cited on 1 Nov 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0011001 .
Jump To The First Citation Point In The Article195
Nakamura, T., and Sato, H., ``General Relativistic Collapse of Non-Rotating Axisymmetric Stars'', Prog. Theor. Phys., 67, 1396-1405, (1982).
Jump To The First Citation Point In The Article196
Nakamura, T., Shapiro, S. L., and Teukolsky, S. A., ``Naked Singularities and the Hoop Conjecture: An Analytic Exploration'', Phys. Rev. D, 38, 2972-2978, (1988).
Jump To The First Citation Point In The Article197
Nakamura, T., Shibata, M., and Nakao, K., ``Naked Singularity Dries Up?'', Prog. Theor. Phys., 89, 821-831, (1993).
Jump To The First Citation Point In The Article198
Nakao, K., Iguchi, H., and Harada, T., ``Newtonian Analysis of Gravitational Waves from Naked Singularity'', Phys. Rev. D, 63, 084003, (2001). For a related online version see: K. Nakao, et al., ``Newtonian Analysis of Gravitational Waves from Naked Singularity'', (June, 2000), [Online Los Alamos Archive Preprint]: cited on 16 Jun 2000, External Linkhttp://xxx.lanl.gov/abs/astro-ph/0006057 .
Jump To The First Citation Point In The Article199
Niemeyer, J. C., and Jedamzik, K., ``Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes'', Phys. Rev. Lett., 80, 5481-5484, (1998). For a related online version see: J. C. Niemeyer, et al., ``Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 9 Sep 1997, External Linkhttp://xxx.lanl.gov/abs/astro-ph/9709072 .
Jump To The First Citation Point In The Article200
Norton, A. H., ``Finite Difference Operators for PDE's Based on Sampling Kernels for Spline Quasi-Interpolation'', University of New South Wales Preprint, (1992).
Jump To The First Citation Point In The Article201
Olabarrieta, I., Critical Collapse of Collisionless Matter in Spherical Symmetry, Masters Thesis, (Uinversity of British Columbia, Vancouver, 2000). For a related online version see: I. Olabarrieta, ``Critical Collapse of Collisionless Matter in Spherical Symmetry'', (December, 2000), [Online Los Alamos Archive Preprint]: cited on 17 Dec 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0012059 .
Jump To The First Citation Point In The Article202
Ori, A., ``Inner Structure of a Charged Black Hole: An Exact Mass-Inflation Solution'', Phys. Rev. Lett., 67, 789-792, (1991).
Jump To The First Citation Point In The Article203
Ori, A., ``Structure of the Singularity inside a Realistic Black Hole'', Phys. Rev. Lett., 68, 2117-2120, (1992).
Jump To The First Citation Point In The Article204
Ori, A., ``Null Weak Singularities in Plane-Symmetric Spacetimes'', Phys. Rev. D, 57, 4745-4753, (1998). For a related online version see: A. Ori, ``Null Weak Singularities in Plane-Symmetric Spacetimes'', (January, 1998), [Online Los Alamos Archive Preprint]: cited on 26 Jan 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9801086 .
Jump To The First Citation Point In The Article205
Ori, A., ``Evolution of Linear Gravitational and Electromagnetic Perturbations inside a Kerr Black Hole'', Phys. Rev. D, 61, 024001, (1999).
Jump To The First Citation Point In The Article206
Ori, A., ``Oscillatory Null Singularity inside Realistic Spinning Black Holes'', Phys. Rev. Lett., 83, 5423-5426, (1999). For a related online version see: A. Ori, ``Oscillatory Null Singularity inside Realistic Spinning Black Holes'', (January, 2001), [Online Los Alamos Archive Preprint]: cited on 5 Mar 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0103012 .
Jump To The First Citation Point In The Article207
Ove, R., ``Nonlinear Gravitational Effect'', Phys. Rev. Lett., 64, 1200-1203, (1990).
Jump To The First Citation Point In The Article208
Pelath, M. A., Tod, K. P., and Wald, R. M., ``Trapped Surfaces in Prolate Collapse in the Gibbons-Penrose Construction'', Class. Quantum Grav., 15, 3917-3934, (1998). For a related online version see: M. A. Pelath, et al., ``Trapped Surfaces in Prolate Collapse in the Gibbons-Penrose Construction'', (May, 1998), [Online Los Alamos Archive Preprint]: cited on 13 May 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9805051 .
Jump To The First Citation Point In The Article209
Penrose, R., ``Gravitational Collapse: The Role of General Relativity'', Riv. Nuovo Cimento, 1, 252-276, (1969).
Jump To The First Citation Point In The Article210
Penrose, R., ``Singularities and Time Asymmetry'', in Hawking, S. W., and Israel, W., eds., General Relativity: An Einstein Centenary Survey, (Cambridge University Press, Cambridge, 1979).
Jump To The First Citation Point In The Article211
Poisson, E., ``Black-Hole Interiors and Strong Cosmic Censorship'', in Burko, L. M., and Ori, A., eds., Internal Structure of Black Holes and Spacetime Singularities, (Institute of Physics, Bristol, 1998). For a related online version see: E. Poisson, ``Black-Hole Interiors and Strong Cosmic Censorship'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 10 Sep 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9709022 .
Jump To The First Citation Point In The Article212
Poisson, E., and Israel, W., ``Inner-Horizon Instability and Mass Inflation in Black Holes'', Phys. Rev. Lett., 63, 1663-1666, (1989).
Jump To The First Citation Point In The Article213
Poisson, E., and Israel, W., ``Internal Structure of Black Holes'', Phys. Rev. D, 41, 1796-1807, (1990).
Jump To The First Citation Point In The Article214
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., Numerical Recipes: the Art of Scientific Computing (2nd edition), (Cambridge University, Cambridge, 1992).
Jump To The First Citation Point In The Article215
Pretorius, F., and Choptuik, M. W., ``Gravitational Collapse in 2+1 Dimensional AdS Spacetime'', Phys. Rev. D, 62, 124012, (2000). For a related online version see: F. Pretorius, et al., ``Gravitational Collapse in 2+1 Dimensional AdS Spacetime'', (July, 2000), [Online Los Alamos Archive Preprint]: cited on 6 Nov 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0007008 .
Jump To The First Citation Point In The Article216
Pullin, J., ``Time and Chaos in General Relativity'', in SILARG VII Relativity and Gravitation: Classical and Quantum, (World Scientific, Singapore, 1991).
Jump To The First Citation Point In The Article217
Rein, G., Rendall, A. D., and Schaeffer, J., ``Critical Collapse of Collisionless Matter: a Numerical Investigation'', Phys. Rev. D, 58, 044007, (1998). For a related online version see: G. Rein, et al., ``Critical Collapse of Collisionless Matter--a Numerical Investigation'', (April, 1998), [Online Los Alamos Archive Preprint]: cited on 17 Apr 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9804040 .
Jump To The First Citation Point In The Article218
Rendall, A. D., ``Global Dynamics of the Mixmaster Model'', Class. Quantum Grav., 14, 2341-2356, (1997). For a related online version see: A. D. Rendall, ``Global Dynamics of the Mixmaster Model'', (March, 1997), [Online Los Alamos Archive Preprint]: cited on 14 Mar 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9703036 .
Jump To The First Citation Point In The Article219
Rendall, A. D., ``Solutions of the Einstein Equations with Matter'', in Francaviglia, M., Longhi, G., Lusanna, L., and Sorace, E., eds., General Relativity and Gravitation, 313-336, (World Scientific, Singapore, 1997). For a related online version see: A. D. Rendall, ``Solutions of the Einstein Equations with Matter'', (October, 1995), [Online Los Alamos Archive Preprint]: cited on 5 Oct 1995, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9510009 .
Jump To The First Citation Point In The Article220
Rendall, A. D., and Weaver, M., ``Manufacture of Gowdy Spacetimes with Spikes'', Class. Quantum Grav., 18, 2959-2976, (2001). For a related online version see: A. D. Rendall, et al., ``Manufacture of Gowdy Spacetimes with Spikes'', (March, 2001), [Online Los Alamos Archive Preprint]: cited on 28 Mar 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0103102 .
Jump To The First Citation Point In The Article221
Ringström, H., ``Curvature Blow up in Bianchi VIII and IX Vacuum Spacetimes'', Class. Quantum Grav., 17, 713-731, (2000). For a related online version see: H. Ringström, ``Curvature Blow up in Bianchi VIII and IX Vacuum Spacetimes'', (November, 1999), [Online Los Alamos Archive Preprint]: cited on 29 Nov 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9911115 .
Jump To The First Citation Point In The Article222
Ringström, H., ``The Bianchi IX Attractor'', Ann. Henri Poincare, 2, 405-500, (2001). For a related online version see: H. Ringström, ``The Bianchi IX Attractor'', (June, 2000), [Online Los Alamos Archive Preprint]: cited on 10 Jun 2000, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0006035 .
Jump To The First Citation Point In The Article223
Rugh, S. E., Chaotic Behavior and Oscillating Three-Volumes in a Space-Time Metric in General Relativity, Masters Thesis, (Niels Bohr Institute, Copenhagen, 1990). Available on request to the author.
Jump To The First Citation Point In The Article224
Rugh, S. E., ``Chaos in the Einstein Equations--Characterization and Importance?'', in Hobill, D. W., Burd, A., and Coley, A., eds., Deterministic Chaos in General Relativity, (Plenum, New York, 1994).
Jump To The First Citation Point In The Article225
Rugh, S. E., and Jones, B. J. T., ``Chaotic Behaviour and Oscillating Three-Volumes in Bianchi IX Universes'', Phys. Lett. A, 147, 353, (1990).
Jump To The First Citation Point In The Article226
Ryan Jr., M. P., ``Qualitative Cosmology: Diagrammatic Solutions for Bianchi IX Universes with Expansion, Rotation, and Shear II: The General Case'', Ann. Phys. (N. Y.), 68, 541-555, (1971).
Jump To The First Citation Point In The Article227
Ryan Jr., M. P., and Shepley, L. C., Homogeneous Relativistic Cosmologies, (Princeton University, Princeton, 1975).
Jump To The First Citation Point In The Article228
Schoen, R., and Yau, S.-T., ``The Existence of a Black Hole Due to Condensation of Matter'', Commun. Math. Phys., 90, 575-579, (1983).
Jump To The First Citation Point In The Article229
Seidel, E., and Suen, W.-M., ``Formation of Solitonic Stars Through Gravitational Cooling'', Phys. Rev. Lett., 72, 2516-2519, (1994). For a related online version see: E. Seidel, et al., ``Formation of Solitonic Stars Through Gravitational Cooling'', (September, 1993), [Online Los Alamos Archive Preprint]: cited on 14 Sep 1993, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9309015 .
Jump To The First Citation Point In The Article230
Shapiro, S. L., and Teukolsky, S. A., ``Formation of Naked Singularities: The Violation of Cosmic Censorship'', Phys. Rev. Lett., 66, 994-997, (1991).
Jump To The First Citation Point In The Article231
Shapiro, S. L., and Teukolsky, S. A., ``Gravitational Collapse of Rotating Spheroids and the Formation of Naked Singularities'', Phys. Rev. D, 45, 2006-2012, (1992).
Jump To The First Citation Point In The Article232
Shapiro, S. L., and Teukolsky, S. A., ``Relativistic Stellar Systems with Spindle Singularities'', Astrophys. J., 419, 622-635, (1993).
Jump To The First Citation Point In The Article233
Stahl, F., ``Fuchsian Analysis of tex2html_wrap_inline1990 and tex2html_wrap_inline1964 Gowdy Spacetimes'', (September, 2001), [Online Los Alamos Archive Preprint]: cited on 4 Sep 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0109011 .
Jump To The First Citation Point In The Article234
Suzuki, M., ``Fractal Decomposition of Exponential Operators with Applications to Many-body Theories and Monte Carlo Simulations'', Phys. Lett. A, 146, 319-323, (1990).
Jump To The First Citation Point In The Article235
Suzuki, M., ``General Theory of Fractal Path Integrals with Applications to Many-body Theories and Statistical Physics'', J. Math. Phys., 32, 400-407, (1991).
Jump To The First Citation Point In The Article236
Taub, A., ``Empty Space-Times Admitting a Three-Parameter Group of Motions'', Ann. Math., 53, 472, (1951).
Jump To The First Citation Point In The Article237
Teukolsky, S. A., ``Stability of the Iterated Crank-Nicholson Method in Numerical Relativity'', Phys. Rev. D, 61, 087501, (2000). For a related online version see: S. A. Teukolsky, ``On the Stability of the Iterated Crank-Nicholson Method in Numerical Relativity'', (September, 1999), [Online Los Alamos Archive Preprint]: cited on 7 Sep 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9909026 .
Jump To The First Citation Point In The Article238
Thornburg, J., Lechner, C., Purrer, M., Aichelburg, P. C., and Husa, S., ``Episodic Self-Similarity in Critical Gravitational Collapse'', (December, 2000), [Online Los Alamos Archive Preprint]: cited on 22 May 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0012043 .
Jump To The First Citation Point In The Article239
Thorne, K. S., ``Nonspherical Gravitational Collapse -- A Short Review'', in Klauder, J., ed., Magic without Magic, 231-258, (W. H. Freeman, San Francisco, 1972).
Jump To The First Citation Point In The Article240
Tipler, F. J., Clarke, C. J. S., and Ellis, G. F. R., ``Singularities and Horizons -- A Review Article'', in Held, A., ed., General Relativity and Gravitation, 97-206, (Plenum, New York, 1980).
Jump To The First Citation Point In The Article241
Tod, K. P., ``The Hoop Conjecture and the Gibbons-Penrose Construction of Trapped Surfaces'', Class. Quantum Grav., 9, 1581-1591, (1992).
Jump To The First Citation Point In The Article242
van Elst, H., Uggla, C., and Wainwright, J., ``Dynamical Systems Approach to tex2html_wrap_inline1806 Cosmology'', (July, 2001), [Online Los Alamos Archive Preprint]: cited on 9 Nov 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0107041 .
Jump To The First Citation Point In The Article243
van Putten, M. H. P. M., ``Numerical Integration of Nonlinear Wave Equations for General Relativity'', Phys. Rev. D, 55, 4705-4711, (1997). For a related online version see: M. H. P. M. van Putten, ``Numerical Integration of Nonlinear Wave Equations for General Relativity'', (January, 1997), [Online Los Alamos Archive Preprint]: cited on 10 Jan 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9701019 .
Jump To The First Citation Point In The Article244
Wald, R. M., ``Gravitational Collapse and Cosmic Censorship'', (October, 1997), [Online Los Alamos Archive Preprint]: cited on 6 Nov 1997, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9710068 .
Jump To The First Citation Point In The Article245
Wald, R. M., General Relativity, (University of Chicago Press, Chicago, 1984).
Jump To The First Citation Point In The Article246
Wald, R. M., and Iyer, V., ``Trapped Surfaces in the Schwarzschild Geometry and Cosmic Censorship'', Phys. Rev. D, 44, 3719-3722, (1991).
Jump To The First Citation Point In The Article247
Weaver, M., Asymptotic Behavior to Solutions to Einstein's Equation, PhD Thesis, (University of Oregon, Eugene, 1999).
Jump To The First Citation Point In The Article248
Weaver, M., ``Dynamics of Magnetic Bianchi VI tex2html_wrap_inline2006 Cosmologies'', Class. Quantum Grav., 17, 421-434, (2000). For a related online version see: M. Weaver, ``Dynamics of Magnetic Bianchi VI tex2html_wrap_inline2006 Cosmologies'', (September, 1999), [Online Los Alamos Archive Preprint]: cited on 11 Nov 1999, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9909043 .
Jump To The First Citation Point In The Article249
Weaver, M., Berger, B. K., and Isenberg, J., ``Oscillatory Approach to the Singularity in Vacuum tex2html_wrap_inline2040 Symmetric Spacetimes'', in Gurzadyan, V., and Jantzen, R. T., eds., 9th Marcel Grossmann Meeting, (World Scientific, Singapore, 2002). For a related online version see: M. Weaver, et al., ``Oscillatory Approach to the Singularity in Vacuum tex2html_wrap_inline2040 Symmetric Spacetimes'', (January, 2001), [Online Los Alamos Archive Preprint]: cited on 16 Jan 2001, External Linkhttp://xxx.lanl.gov/abs/gr-qc/0101054 .
Jump To The First Citation Point In The Article250
Weaver, M., Isenberg, J., and Berger, B. K., ``Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes'', Phys. Rev. Lett., 80, 2984-2987, (1998). For a related online version see: M. Weaver, et al., ``Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes'', (December, 1997), [Online Los Alamos Archive Preprint]: cited on 11 Mar 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9712055 .
Jump To The First Citation Point In The Article251
Wojtkiewicz, J., ``Naked Singularities in Initial Surfaces'', Phys. Rev. D, 41, 1867-1874, (1990).
Jump To The First Citation Point In The Article252
Yokoyama, J., ``Cosmological Constraints on Primordial Black Holes Produced in Near-Critical Gravitational Collapse'', Phys. Rev. D, 58, 107502, (1998). For a related online version see: J. Yokoyama, ``Cosmological Constraints on Primordial Black Holes Produced in Near-Critical Gravitational Collapse'', (April, 1998), [Online Los Alamos Archive Preprint]: cited on 24 Jul 1998, External Linkhttp://xxx.lanl.gov/abs/gr-qc/9804041 .
Jump To The First Citation Point In The Article253
Zardecki, A., ``Modeling in Chaotic Relativity'', Phys. Rev. D, 28, 1235-1242, (1983).
Jump To The First Citation Point In The Article254
Zotov, M., ``Einstein-Yang-Mills Black Hole Interiors: Serious Problems But Simple Solution'', (April, 1997), [Online Los Alamos Archive Preprint]: cited on 11 Jun 1997, External Linkhttp://xxx.lanl.gov/ps/gr-qc/9704080 .

image Numerical Approaches to Spacetime Singularities
Beverly K. Berger
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