Abrahams, A. M., and Evans,
C. R., ``Critical Behavior and Scaling in Vacuum
Axisymmetric Gravitational Collapse'',
Phys. Rev. Lett.,
70, 2980-2983, (1993).
Anninos, P., Centrella, J., and Matzner,
R. A., ``Nonlinear Wave Solutions to the Planar Vacuum
Einstein Equations'',
Phys. Rev. D,
43, 1825-1838, (1991).
Anninos, P., Centrella, J., and Matzner,
R. A., ``Numerical Methods for Solving the Planar
Vacuum Einstein Equations'',
Phys. Rev. D,
43, 1808-1824, (1991).
Barrabès, C., Gremain, A., Lesigne, E., and
Letelier, P.S., ``Geometric Inequalities and the Hoop
Conjecture'',
Class. Quantum Grav.,
9, L105-L110, (1992).
Barrabès, C., Israel, W., and Letelier,
P. S., ``Analytic Models of Nonspherical Collapse,
Cosmic Censorship and the Hoop Conjecture'',
Phys. Lett. A,
160, 41, (1991).
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'', (Jun, 1997), [Online Los
Alamos Archive Preprint]: cited on 20 Jun 1997,
http://xxx.lanl.gov/abs/gr-qc/9706065
.
Belinskii, V. A., and Khalatnikov,
I. M., ``General Solution of the Gravitational
Equations with a Physical Singularity'',
Sov. Phys. JETP,
30, 1174-1180, (1969).
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).
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).
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).
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).
Berger, B. K., ``On the Nature of the
Generic Big Bang'', (Jan, 1998), [Online Los Alamos Archive
Preprint]: cited on 6 Jan 1998,
http://xxx.lanl.gov/abs/gr-qc/9801010
.
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'', (Aug, 1993), [Online Los Alamos Archive
Preprint]: cited on 17 Aug 93,
http://xxx.lanl.gov/abs/gr-qc/9308016
.
Berger, B. K., ``Comment on the
`Chaotic' Singularity in Some Magnetic Bianchi VI
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
Cosmologies'', (Dec, 1995), [Online Los Alamos Archive
Preprint]: cited on 1 Dec 1995,
http://xxx.lanl.gov/abs/gr-qc/9512005
.
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'', (Dec, 1995), [Online Los
Alamos Archive Preprint]: cited on 1 Dec 1995,
http://xxx.lanl.gov/abs/gr-qc/9512004
.
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'', (Dec, 1995), [Online Los
Alamos Archive Preprint]: cited on 1 Dec 1995,
http://xxx.lanl.gov/abs/gr-qc/9512003
.
Berger, B. K., Chrusciel, P. T.,
and Moncrief, V., ``On `Asymptotically Flat' Space-Times
with
-Invariant Cauchy Surfaces'',
Ann. Phys. (N. Y.),
237, 322, (1995). For a related online version see: B. K.
Berger, et al., ``On `Asymptotically Flat' Space-Times with
-Invariant Cauchy Surfaces'', (Apr, 1994), [Online Los
Alamos Archive Preprint]: cited on 6 Apr 1994,
http://xxx.lanl.gov/abs/gr-qc/9404005
.
Berger, B. K., and Garfinkle, D.,
``Phenomenology of the Gowdy Model on
'',
Phys. Rev. D,
57, 4767, (1998). For a related online version see:
B. K. Berger, et al., ``Phenomenology of the Gowdy
Model on
'', (Oct, 1997), [Online Los Alamos Archive Preprint]:
cited on 21 Oct 1997,
http://xxx.lanl.gov/abs/gr-qc/9710102
.
Berger, B. K., Garfinkle, D., and
Moncrief, V., ``Numerical Study of Cosmological
Singularities'', (Sep, 1997), [Online Los Alamos Archive
Preprint]: cited on 26 Sep 1997,
http://xxx.lanl.gov/abs/gr-qc/9709073
. In
Proceedings of the Workshop on Black Hole Interiors
.
Berger, B. K., Garfinkle, D., and
Moncrief, V., ``Comment on ``The Gowdy
Cosmologies Revisited'''', (Aug, 1997), [Online Los Alamos
Archive Preprint]: cited on 21 Aug 1997,
http://xxx.lanl.gov/abs/gr-qc/9708050
.
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'', (Sep, 1996), [Online Los Alamos Archive
Preprint]: cited on 30 Sep 1996,
http://xxx.lanl.gov/abs/gr-qc/9609072
.
Berger, B. K., Garfinkle, D., and
Swamy, V., ``Detection of Computer Generated Gravitational
Waves in Numerical Cosmologies'',
Gen. Relativ. Gravit.,
27, 511, (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,
http://xxx.lanl.gov/abs/gr-qc/9405069
.
Berger, B. K., and Moncrief, V.,
``Evidence for an Oscillatory Singularity in Generic
U
(1) Symmetric Cosmologies on
'', (Apr, 1998), [Online Los Alamos Archive Preprint]:
cited on 30 Apr 1998,
http://xxx.lanl.gov/abs/gr-qc/9804085
.
Berger, B. K., and Moncrief, V.,
``Numerical Evidence for Velocity Dominated Singularities
in Polarized
U
(1) Symmetric Cosmologies'', (Jan, 1998), [Online Los
Alamos Archive Preprint]: cited on 22 Jan 1998,
http://xxx.lanl.gov/abs/gr-qc/9801078
.
Phys. Rev. D, in press.
Berger, B. K., and Moncrief, V.,
``Numerical Investigation of Cosmological Singularities'',
Phys. Rev. D,
48, 4676, (1993). For a related online version see:
B. K. Berger, et al., ``Numerical Investigation of
Cosmological Singularities'', (Jul, 1993), [Online Los
Alamos Archive Preprint]: cited on 22 Jul 93,
http://xxx.lanl.gov/abs/gr-qc/9307032
.
Bizon, P., ``How to Make a Tiny Black
Hole?'', (Jun, 1996), [Online Los Alamos Archive Preprint]:
cited on 19 Jun 96,
http://xxx.lanl.gov/abs/gr-qc/9606060
.
Bizon, P., and Chmaj, G., ``Critical
Collapse of Skyrmions'', (Jan, 1998), [Online Los Alamos
Archive Preprint]: cited on 12 Jan 1998,
http://xxx.lanl.gov/abs/gr-qc/9801012
.
Bonanno, A., Droz, S., Israel, W., and
Morsink, S. M., ``Structure of the Spherical Black
Hole Interior'',
Proc. R. Soc. London, Sect. A,
450, 553-567, (1995). For a related online version see:
A. Bonanno, et al., ``Structure of the Spherical Black
Hole Interior'', (Nov, 1994), [Online Los Alamos Archive
Preprint]: cited on 18 Nov 1994,
http://xxx.lanl.gov/abs/gr-qc/9411050
.
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'', (Jan, 1995), [Online Los
Alamos Archive Preprint]: cited on 21 Jan 1995,
http://xxx.lanl.gov/abs/gr-qc/9501025
.
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'', (Sep, 1997), [Online Los Alamos Archive
Preprint]: cited on 5 Sep 1997,
http://xxx.lanl.gov/gr-qc/9709014
.
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'', (Nov, 1996), [Online Los
Alamos Archive Preprint]: cited on 23 Nov 1996,
http://xxx.lanl.gov/abs/gr-qc/9611056
.
Brady, P. R., Moss, I. G., and
Myers, R. C., ``Cosmic Censorship: As Strong as
Ever'', (Jan, 1998), [Online Los Alamos Archive Preprint]:
cited on 12 Jan 1998,
http://xxx.lanl.gov/abs/gr-qc/9801032
.
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'', (Jun, 1995), [Online Los Alamos
Archive Preprint]: cited on 28 Jun 1995,
http://xxx.lanl.gov/abs/gr-qc/950607
.
Breitenlohner, P., Lavrelashvili, G., and
Maison, D., ``Mass Inflation and Chaotic Behavior Inside
Hairy Black Holes'', (Mar, 1997), [Online Los Alamos
Archive Preprint]: cited on 18 Mar 1997,
http://xxx.lanl.gov/abs/gr-qc/9703047
.
Breitenlohner, P., Lavrelashvili, G., and
Maison, D., ``Non-Abelian Black Holes: The Inside Story'',
(Aug, 1997), [Online Los Alamos Archive Preprint]: cited on
17 Aug 1997,
http://xxx.lanl.gov/abs/gr-qc/9708036
. [note]In
Proceedings of the Workshop on Black Hole Interiors
.
Breitenlohner, P., Lavrelashvili, G., and
Maison, D., ``Mass Inflation Inside Non-Abelian Black
Holes'', (Nov, 1997), [Online Los Alamos Archive Preprint]:
cited on 6 Nov 1997,
http://xxx.lanl.gov/abs/gr-qc/9711024
. in MG8 Proceedings.
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, (1990).
Burko, L. M., ``The Singularity in
Supercritical Collapse of a Spherical Scalar Field'', (Mar,
1998), [Online Los Alamos Archive Preprint]: cited on 22
Mar 1998,
http://xxx.lanl.gov/abs/gr-qc/9803059
.
Burko, L. M., ``Homogeneous Spacelike
Singularities Inside Spherical Black Holes'', (Nov, 1997),
[Online Los Alamos Archive Preprint]: cited on 5 Nov 1997,
http://xxx.lanl.gov/abs/gr-qc/9711012
. In
Proceedings of the Workshop on Black Hole Interiors
.
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'', (Oct, 1997), [Online Los Alamos
Archive Preprint]: cited on 26 Oct 1997,
http://xxx.lanl.gov/abs/gr-qc/9710112
.
Burko, L. M., and Ori, A., ``Analytic
Study of the Null Singularity inside Spherical Charged
Black Holes'', (Nov, 1997), [Online Los Alamos Archive
Preprint]: cited on 10 Nov 1997,
http://xxx.lanl.gov/abs/gr-qc/9711032
.
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'', (Mar, 1997), [Online
Los Alamos Archive Preprint]: cited on 21 Sep 1997,
http://xxx.lanl.gov/abs/gr-qc/9703067
.
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).
Chambers, C. M., ``The Cauchy Horizon
in Black Hole-de Sitter Spacetimes'', (Sep, 1997), [Online
Los Alamos Archive Preprint]: cited on 11 Sep 1997,
http://xxx.lanl.gov/abs/gr-qc/9709025
. In
Proceedings of the Workshop on Black Hole Interiors
.
Chambers, C. M., Brady, P. R.,
and Gonçalves, S. M. C. V., ``Phases of Massive Scalar
Field Collapse'', (Oct, 1997), [Online Los Alamos Archive
Preprint]: cited on 2 Oct 1997,
http://xxx.lanl.gov/gr-qc/9710014
. In
MG8 Proceedings
.
Chambers, C. M., Brady, P. R.,
Krivan, W., and Laguna, P., ``Some Cosmological Tails of
Collapse'', (Oct, 1997), [Online Los Alamos Archive
Preprint]: cited on 2 Oct 1997,
http://xxx.lanl.gov/abs/gr-qc/9710015
.
Chandrasekhar, S., and Hartle, J. B.,
``On Crossing the Cauchy Horizon of a Reissner-Nordstrom
Black Hole'',
Proc. R. Soc. London, Sect. A,
384, 301-315, (1982).
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'', (Mar,
1996), [Online Los Alamos Archive Preprint]: cited on 27
Mar 96,
http://xxx.lanl.gov/abs/gr-qc/9603051
.
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'', (Dec, 1996), [Online Los Alamos
Archive Preprint]: cited on 30 Dec 1996,
http://xxx.lanl.gov/abs/gr-qc/9612066
.
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,
http://xxx.lanl.gov/abs/gr-qc/9605029
.
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'', (Dec, 1996), [Online Los
Alamos Archive Preprint]: cited on 23 Apr 1997,
http://xxx.lanl.gov/abs/gr-qc/9612067
.
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'', (Aug, 1996), [Online Los Alamos Archive
Preprint]: cited on 14 Aug 1996,
http://xxx.lanl.gov/abs/gr-qc/9608034
.
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,
http://xxx.lanl.gov/abs/gr-qc/9505041
.
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'', (Feb, 1994), [Online Los Alamos
Archive Preprint]: cited on 22 Feb 1994,
http://xxx.lanl.gov/abs/gr-qc/9402041
.
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'', (Mar, 1996),
[Online Los Alamos Archive Preprint]: cited on 5 Mar 1996,
http://xxx.lanl.gov/abs/gr-qc/9603004
.
Fleck, J. A., Morris, J. R., and
Feit, M. D., ``Time-Dependent Propagation of High
Energy Laser Beams through the Atmosphere'',
Appl. Phys. Lett.,
10, 129, (1976).
Gal'tsov, D. V., and Donets,
E. E., ``Power-Law Mass Inflation in
Einstein-Yang-Mills-Higgs Black Holes'', (Jun, 1997),
[Online Los Alamos Archive Preprint]: cited on 22 Jun 1997,
http://xxx.lanl.gov/abs/gr-qc/9706067
.
Gal'tsov, D. V., Donets, E. E.,
and Zotov, M. Yu., ``Singularities inside Hairy Black
Holes'', (Dec, 1997), [Online Los Alamos Archive Preprint]:
cited on 1 Dec 1997,
http://xxx.lanl.gov/abs/gr-qc/9712003
.
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'', (Jun, 1997), [Online Los Alamos
Archive Preprint]: cited on 20 Jun 1997,
http://xxx.lanl.gov/abs/gr-qc/9706063
.
Garfinkle, D., ``Choptuik Scaling in Null
Coordinates'',
Phys. Rev. D,
51, 5558, (1995). For a related online version see:
D. Garfinkle, ``Choptuik Scaling in Null
Coordinates'', (Dec, 1994), [Online Los Alamos Archive
Preprint]: cited on 1 Dec 1994,
http://xxx.lanl.gov/abs/gr-qc/9412008
.
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'', (Dec, 1996), [Online
Los Alamos Archive Preprint]: cited on 31 Jul 1997,
http://xxx.lanl.gov/abs/gr-qc/9612015
.
Garfinkle, D., and Duncan, G. C.,
``Scaling of Curvature in Sub-Critical Gravitational
Collapse'', (Feb, 1998), [Online Los Alamos Archive
Preprint]: cited on 24 Feb 1998,
http://xxx.lanl.gov/abs/gr-qc/9802061
.
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'', (Jun, 1997), [Online Los
Alamos Archive Preprint]: cited on 12 Jun 1997,
http://xxx.lanl.gov/abs/gr-qc/9706034
.
Gnedin, M. L., and Gnedin, N. Y.,
``Destruction of the Cauchy Horizon in the
Reissner-Nordstrom Black Hole'',
Class. Quantum Grav.,
10, 1083-1102, (1993).
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'', (Feb, 1997),
[Online Los Alamos Archive Preprint]: cited on 27 Feb 1997,
http://xxx.lanl.gov/abs/gr-qc/9702059
.
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'', (Apr, 1994), [Online Los Alamos Archive
Preprint]: cited on 27 Apr 1994,
http://xxx.lanl.gov/abs/gr-qc/9404056
.
Grubisic, B., and Moncrief, V.,
``Asymptotic Behavior of the
Gowdy Space-times'',
Phys. Rev. D,
47, 2371-2382, (1993). For a related online version see:
B. Grubisic, et al., ``Asymptotic Behavior of the
Gowdy Space-times'', (Sep, 1992), [Online Los Alamos
Archive Preprint]: cited on 15 Sep 1994,
http://xxx.lanl.gov/abs/gr-qc/9209006
.
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'', (Sep, 1993),
[Online Los Alamos Archive Preprint]: cited on 9 Sep 1993,
http://xxx.lanl.gov/abs/gr-qc/9309007
.
Gundlach, C., ``Critical Phenomena in
Gravitational Collapse'', (Jun, 1996), [Online Los Alamos
Archive Preprint]: cited on 12 Jun 1996,
http://xxx.lanl.gov/ps/gr-qc/9606023
. Submitted to
Banach Centre Proceedings
.
Gundlach, C., ``Nonspherical Perturbations
of Critical Collapse and Cosmic Censorship'', (Oct, 1997),
[Online Los Alamos Archive Preprint]: cited on 12 Oct 1997,
http://xxx.lanl.gov/abs/gr-qc/9710066
.
Gundlach, C., ``The Choptuik Spacetime as
an Eigenvalue Problem'',
Phys. Rev. Lett.,
75, 3214, (1995). For a related online version see:
C. Gundlach, ``The Choptuik Spacetime as an Eigenvalue
Problem'', (Jul, 1995), [Online Los Alamos Archive
Preprint]: cited on 13 Sep 1995,
http://xxx.lanl.gov/abs/gr-qc/9507054
.
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'', (Oct, 1996),
[Online Los Alamos Archive Preprint]: cited on 4 Nov 1996,
http://xxx.lanl.gov/abs/gr-qc/9610069
.
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'', (Apr, 1996), [Online Los Alamos Archive
Preprint]: cited on 8 Apr 1996,
http://xxx.lanl.gov/abs/gr-qc/9604019
.
Gundlach, C., and Martin-Garcia, ``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'', (Jun, 1996), [Online Los Alamos
Archive Preprint]: cited on 17 Sep 1996,
http://xxx.lanl.gov/abs/gr-qc/9606072
.
Gundlach, C., and Pullin, J.,
``Ill-Posedness of a Double Null Free Evolution Scheme for
Black Hole Spacetimes'',
Class. Quantum Grav.,
14, 991, (1997). For a related online version see:
C. Gundlach, et al., ``Ill-Posedness of a Double Null
Free Evolution Scheme for Black Hole Spacetimes'', (Jun,
1996), [Online Los Alamos Archive Preprint]: cited on 29
Jan 1997,
http://xxx.lanl.gov/abs/gr-qc/9606022
.
Hamade, 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. Hamade, et al., ``Continuous Self-Similarity and
S
-Duality'', (Nov, 1995), [Online Los Alamos Archive
Preprint]: cited on 7 Nov 1995,
http://xxx.lanl.gov/abs/gr-qc/9511024
.
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'', (Jun, 1995), [Online
Los Alamos Archive Preprint]: cited on 22 Jun 1995,
http://xxx.lanl.gov/abs/gr-qc/9506044
.
Hara, T., Koike, T., and Adachi, S.,
``Renormalization Group and Critical Behavior in
Gravitational Collapse'', (Jul, 1996), [Online Los Alamos
Archive Preprint]: cited on 28 May 1997,
http://xxx.lanl.gov/abs/gr-qc/9607010
.
Hawking, S. W., ``The Occurrence of
Singularities in Cosmology. III. Causality and
Singularities'',
Proc. Phys. Soc. London, Sect. A,
300, 182-201, (1967).
Hawking, S. W., and Penrose, R., ``The
Singularities of Gravitational Collapse and Cosmology'',
Proc. Phys. Soc. London, Sect. A,
314, 529-548, (1970).
Hern, S. J., and Stewart, J. M.,
``The Gowdy
Cosmologies Revisited'', (Aug, 1997), [Online Los Alamos
Archive Preprint]: cited on 18 Aug 1997,
http://xxx.lanl.gov/gr-qc/9708038
.
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'', (Jun, 1995), [Online Los Alamos Archive Preprint]:
cited on 21 Aug 1995,
http://xxx.lanl.gov/abs/gr-qc/9506078
.
Hirschmann, E. W., and Eardley,
D. M., ``Universal Scaling and Echoing in
Gravitational Collapse of a Complex Scalar Field'',
Phys. Rev. D,
51, 4198, (1995). For a related online version see:
E. W. Hirschmann, et al., ``Universal Scaling and
Echoing in Gravitational Collapse of a Complex Scalar
Field'', (Dec, 1994), [Online Los Alamos Archive Preprint]:
cited on 21 Dec 1994,
http://xxx.lanl.gov/abs/gr-qc/9412066
.
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'', (Nov, 1995), [Online Los Alamos Archive
Preprint]: cited on 17 Nov 1995,
http://xxx.lanl.gov/abs/gr-qc/9511052
.
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'',
(Jul, 1996), [Online Los Alamos Archive Preprint]: cited on
31 Jul 1996,
http://xxx.lanl.gov/abs/gr-qc/9606093
.
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'', (Jun, 1996), [Online Los Alamos
Archive Preprint]: cited on 4 Jul 1996,
http://xxx.lanl.gov/abs/gr-qc/9606087
.
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'', (Sep, 1994), [Online
Los Alamos Archive Preprint]: cited on 14 Sep 94,
http://xxx.lanl.gov/abs/gr-qc/940902
.
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'', (Sep, 1997), [Online Los
Alamos Archive Preprint]: cited on 16 Sep 1997,
http://xxx.lanl.gov/abs/gr-qc/9709042
.
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, (1990).
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, (1985).
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 Lett.,
76, 355-358, (1993).
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).
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, (1996). For a related online version see:
J. Libson, et al., ``Event Horizons in Numerical
Relativity I: Methods and Tests'', (Dec, 1994), [Online Los
Alamos Archive Preprint]: cited on 22 Dec 1994,
http://xxx.lanl.gov/abs/gr-qc/9412068
.
Ma, P. K.-H., and Wainwright, J., ``A
Dynamical Systems Approach to the Oscillatory Singularity
in Bianchi Cosmologies'', in Hobill, D., Burd, A., and
Coley, A., eds.,
Deterministic Chaos in General Relativity
.
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).
Maison, D., ``Non-Universality of Critical
Behavior in Spherically Symmetric Gravitational Collapse'',
Phys. Lett. B,
366, 82, (1966). For a related online version see:
D. Maison, ``Non-Universality of Critical Behavior in
Spherically Symmetric Gravitational Collapse'', (Apr,
1995), [Online Los Alamos Archive Preprint]: cited on 05
Apr 95,
http://xxx.lanl.gov/abs/gr-qc/9504008
.
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).
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, (1973).
Nakamura, T., Shapiro, S. L., and
Teukolsky, S. A., ``Naked Singularities and the Hoop
Conjecture: An Analytic Exploration'',
Phys. Rev. D,
38, 3972, (1988).
Niemeyer, J. C., and Jedamzik, K.,
``Near-Critical Gravitational Collapse and the Initial Mass
Function of Primordial Black Holes'', (Sep, 1997), [Online
Los Alamos Archive Preprint]: cited on 9 Sep 1997,
http://xxx.lanl.gov/abs/astro-ph/9709072
.
Norton, A. H., ``Finite Difference
Operators for PDE's Based on Sampling Kernels for Spline
Quasi-Interpolation'', U. of New South Wales preprint,
(1992).
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).
Poisson, E., ``Black-Hole Interiors and
Strong Cosmic Censorship'', (Sep, 1997), [Online Los Alamos
Archive Preprint]: cited on 10 Sep 1997,
http://xxx.lanl.gov/abs/gr-qc/9709022
. In
Proceedings of the Workshop on Black Hole Interiors
.
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).
Pullin, J., ``Time and Chaos in General
Relativity'', in
SILARG VII Relativity and Gravitation: Classical and
Quantum, (World Scientific, Singapore, 1991).
Rein, G., Rendall, A. D., and
Schaeffer, J., ``Critical Collapse of Collisionless
Matter--a Numerical Investigation'', (Apr, 1998), [Online
Los Alamos Archive Preprint]: cited on 17 Apr 1998,
http://xxx.lanl.gov/abs/gr-qc/9804040
.
Rendall, A., ``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. Rendall, ``Solutions of
the Einstein Equations with Matter'', (Oct, 1995), [Online
Los Alamos Archive Preprint]: cited on 5 Oct 1995,
http://xxx.lanl.gov/abs/gr-qc/9510009
.
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'', (Mar, 1997), [Online Los Alamos Archive Preprint]:
cited on 14 Mar 1997,
http://xxx.lanl.gov/abs/gr-qc/9703036
.
Rugh, S. E.,
Chaotic Behavior and Oscillating Three-Volumes in a
Space-Time Metric in General Relativity, Master's thesis, (Niels Bohr Inst., 1990). Available on
request to the author.
Rugh, S. E., ``Chaos in the Einstein
Equations--Characterization and Importance?'', in Hobill,
D., Burd, A., and Coley, A., eds.,
Deterministic Chaos in General Relativity, (Plenum, New York, 1994).
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'', (Sep, 1993), [Online Los
Alamos Archive Preprint]: cited on 14 Sep 1993,
http://xxx.lanl.gov/abs/gr-qc/9309015
.
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).
Suzuki, M., ``Fractal Decomposition of
Exponential Operators with Applications to Many-body
Theories and Monte Carlo Simulations'',
Phys. Lett. A,
146, 319, (1990).
Suzuki, M., ``General Theory of Fractal
Path Integrals with Applications to Many-body Theories and
Statistical Physics'',
J. Math. Phys.,
32, 400, (1991).
Thorne, K. S., ``Nonspherical
Gravitational Collapse, a Short Review'', in Klauder, John,
ed.,
Magic without Magic, (W. H. Freeman, San Francisco, 1972).
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).
Wald, R. M., ``Gravitational Collapse
and Cosmic Censorship'', (Oct, 1997), [Online Los Alamos
Archive Preprint]: cited on 6 Nov 1997,
http://xxx.lanl.gov/abs/gr-qc/9710068
.
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'', (Dec, 1997),
[Online Los Alamos Archive Preprint]: cited on 11 Mar 1998,
http://xxx.lanl.gov/abs/gr-qc/9712055
.
Yokoyama, J., ``Cosmological Constraints on
Primordial Black Holes Produced in the Near-Critical
Gravitational Collapse'', (Apr, 1998), [Online Los Alamos
Archive Preprint]: cited on 18 Apr 1998,
http://xxx.lanl.gov/abs/gr-qc/9804041
.
Zotov, M., ``Einstein-Yang-Mills Black Hole
Interiors: Serious Problems But Simple Solution", (Apr,
1997), [Online Los Alamos Archive Preprint]: cited on 18
Apr 1998,
http://xxx.lanl.gov/abs/gr-qc/9704080
.