Jump To The First Citation Point In The Article1
Aizenman, M., and Lieb, E.H., ``The Third Law of Thermodynamics and the Degeneracy of the Ground State for Lattice Systems'', J. Stat. Phys., 24, 279-297, (1981).
Jump To The First Citation Point In The Article2
Anderson, W., ``Does the GSL Imply an Entropy Bound?'', in Pullin, J., ed., Matters of Gravity . American Physical Society Topical Group in Gravitation, (1999). This issue of the newsletter of the APS Topical Group on Gravitation is available online at External Linkhttp://arxiv.org/abs/gr-qc/9909022 (September, 1999),[Online Los Alamos Archive Preprint]: cited on 6 April 2001.
Jump To The First Citation Point In The Article3
Ashtekar, A., Baez, J., Corichi, A., and Krasnov, K., ``Quantum Geometry and Black Hole Entropy'', Phys. Rev. Lett., 80, 904-907, (1998). For a related online version see: A. Ashtekar, et al., ``Quantum Geometry and Black Hole Entropy'', (October, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9710007 .
Jump To The First Citation Point In The Article4
Ashtekar, A., Beetle, C., Dreyer, O., Fairhurst, 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 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/0006006 .
Jump To The First Citation Point In The Article5
Ashtekar, A., Beetle, C., and Fairhurst, S., ``Isolated Horizons: A Generalization of Black Hole Mechanics'', Class. Quantum Grav., 16, L1-L7, (1999). For a related online version see: A. Ashtekar, et al., ``Isolated Horizons: A Generalization of Black Hole Mechanics'', (December, 1998), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9812065 .
Jump To The First Citation Point In The Article6
Ashtekar, A., Beetle, C., and Fairhurst, S., ``Mechanics of Isolated Horizons'', Class. Quantum Grav., 17, 253-298, (2000). For a related online version see: A. Ashtekar, et al., ``Mechanics of Isolated Horizons'', (July, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9907068 .
Jump To The First Citation Point In The Article7
Ashtekar, A., and Corichi, A., ``Laws Governing Isolated Horizons: Inclusion of Dilaton Couplings'', Class. Quantum Grav., 17, 1317-1332, (2000). For a related online version see: A. Ashtekar, et al., ``Laws Governing Isolated Horizons: Inclusion of Dilaton Couplings'', (October, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9910068 .
Jump To The First Citation Point In The Article8
Ashtekar, A., Corichi, A., and Krasnov, K., ``Isolated Horizons: the Classical Phase Space'', Adv. Theor. Math. Phys., 3, 419-478, (2000). For a related online version see: A. Ashtekar, et al., ``Isolated Horizons: the Classical Phase Space'', (May, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9905089 .
Jump To The First Citation Point In The Article9
Ashtekar, A., Fairhurst, S., and Krishnan, B., ``Isolated Horizons: Hamiltonian Evolution and the First Law'', Phys. Rev. D, 62, 104025, (2000). For a related online version see: A. Ashtekar, et al., ``Isolated Horizons: Hamiltonian Evolution and the First Law'', (May, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/0005083 .
Jump To The First Citation Point In The Article10
Ashtekar, A., and Krasnov, K., ``Quantum Geometry and Black Holes'', in Iyer, B.R., and Bhawal, B., eds., Black Holes, Gravitational Radiation, and the Universe, 149-170, (Kluwer Academic Publishers, Dordrecht, 1999). For a related online version see: A. Ashtekar, et al., ``Quantum Geometry and Black Holes'', (April, 1998), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9804039 .
Jump To The First Citation Point In The Article11
Banks, T., Susskind, L., and Peskin, M.E., ``Difficulties for the Evolution of Pure States into Mixed States'', Nucl. Phys. B, 244, 125-134, (1984).
Jump To The First Citation Point In The Article12
Bardeen, J.M., Carter, B., and Hawking, S.W., ``The Four Laws of Black Hole Mechanics'', Commun. Math. Phys., 31, 161-170, (1973).
Jump To The First Citation Point In The Article13
Bekenstein, J.D., ``On Page's examples challenging the entropy bound'', (June, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/0006003 .
Jump To The First Citation Point In The Article14
Bekenstein, J.D., ``Black Holes and Entropy'', Phys. Rev. D, 7, 2333-2346, (1973).
Jump To The First Citation Point In The Article15
Bekenstein, J.D., ``Generalized Second Law of Thermodynamics in Black-Hole Physics'', Phys. Rev. D, 9, 3292-3300, (1974).
Jump To The First Citation Point In The Article16
Bekenstein, J.D., ``Universal Upper Bound on the Entropy-to-Energy Ratio for Bounded Systems'', Phys. Rev. D, 23, 287-298, (1981).
Jump To The First Citation Point In The Article17
Bekenstein, J.D., ``Entropy Bounds and the Second Law for Black Holes'', Phys. Rev. D, 27, 2262-2270, (1983).
Jump To The First Citation Point In The Article18
Bekenstein, J.D., ``Entropy Content and Information Flow in Systems with Limited Energy'', Phys. Rev. D, 30, 1669-1679, (1984).
Jump To The First Citation Point In The Article19
Bekenstein, J.D., ``Entropy Bounds and Black Hole Remnants'', Phys. Rev. D, 49, 1912-1921, (1994).
Jump To The First Citation Point In The Article20
Bekenstein, J.D., ``Do We Understand Black Hole Entropy ?'', in Jantzen, R.T., and Mac Keiser, G., eds., Proceedings of the VII Marcel Grossman Meeting, 39-58, (World Scientific Press, Singapore, 1996). For a related online version see: J.D. Bekenstein, ``Do We Understand Black Hole Entropy ?'', (September, 1994), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9409015 .
Jump To The First Citation Point In The Article21
Bekenstein, J.D., ``Non-Archimedian Character of Quantum Buoyancy and the Generalized Second Law of Thermodynamics'', Phys. Rev. D, 60, 124010/9 pages, (1999). For a related online version see: J.D. Bekenstein, ``Non-Archimedian character of quantum buoyancy and the generalized second law of thermodynamics'', (June, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9906058 .
Jump To The First Citation Point In The Article22
Bekenstein, J.D., and Schiffer, M., ``Quantum Limitations on the Storage and Transmission of Information'', Int. J. Mod. Phys. C, 1, 355, (1990).
Jump To The First Citation Point In The Article23
Bisognano, J.J., and Wichmann, E.H., ``On the Duality Condition for Quantum Fields'', J. Math. Phys., 17, 303-321, (1976).
Jump To The First Citation Point In The Article24
Bombelli, L., Koul, R.K., Lee, J., and Sorkin, R., ``Quantum Source of Entropy for Black Holes'', Phys. Rev. D, 34, 373-383, (1986).
Jump To The First Citation Point In The Article25
Bousso, R., ``A Covariant Entropy Conjecture'', J. High Energy Phys., 07, 004, (1999). For a related online version see: R. Bousso, ``A Covariant Entropy Conjecture'', (May, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9905177 .
Jump To The First Citation Point In The Article26
Bousso, R., ``Holography in General Space-times'', J. High Energy Phys., 06, 028, (1999). For a related online version see: R. Bousso, ``Holography in General Space-times'', (June, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9906022 .
Jump To The First Citation Point In The Article27
Bousso, R., ``The Holographic Principle for General Backgrounds'', Class. Quantum Grav., 17, 997-1005, (2000). For a related online version see: R. Bousso, ``The Holographic Principle for General Backgrounds'', (November, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9911002 .
Jump To The First Citation Point In The Article28
Brout, R., Massar, S., Parentani, R., and Spindel, Ph., ``Hawking Radiation Without Transplanckian Frequencies'', Phys. Rev. D, 52, 4559-4568, (1995). For a related online version see: R. Brout, et al., ``Hawking Radiation Without Transplanckian Frequencies'', (June, 1995), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9506121 .
Jump To The First Citation Point In The Article29
Brown, J.D., and York, J.W., ``Microcanonical Functional Integral for the Gravitational Field'', Phys. Rev. D, 47, 1420-1431, (1993).
Jump To The First Citation Point In The Article30
Brown, J.D., and York, J.W., ``Quasilocal Energy and Conserved Charges Derived from the Gravitational Action'', Phys. Rev. D, 47, 1407-1419, (1993).
Jump To The First Citation Point In The Article31
Callen, C., and Wilzcek, F., ``On Geometric Entropy'', Phys. Lett. B, 333, 55-61, (1994).
Jump To The First Citation Point In The Article32
Cardoso, G.L., de Wit, B., and Mohaupt, T., ``Area Law Corrections from State Counting and Supergravity'', Class. Quantum Grav., 17, 1007-1015, (2000). For a related online version see: G.L. Cardoso, et al., ``Area Law Corrections from State Counting and Supergravity'', (October, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9910179 .
Jump To The First Citation Point In The Article33
Carlip, S., ``Entropy from Conformal Field Theory at Killing Horizons'', Class. Quantum Grav., 16, 3327-3348, (1999). For a related online version see: S. Carlip, ``Entropy from Conformal Field Theory at Killing Horizons'', (June, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9906126 .
Jump To The First Citation Point In The Article34
Carlip, S., ``Black Hole Entropy from Horizon Conformal Field Theory'', Nucl. Phys. Proc. Suppl., 88, 10-16, (2000). For a related online version see: S. Carlip, ``Black Hole Entropy from Horizon Conformal Field Theory'', (December, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9912118 .
Jump To The First Citation Point In The Article35
Carter, B., ``Black Hole Equilibrium States'', in DeWitt, C., and DeWitt, B.S., eds., Black Holes, 57-214, (Gordon and Breach, New York, 1973).
Jump To The First Citation Point In The Article36
Chrusciel, P.T., Delay, E., Galloway, G.J., and Howard, R., ``Regularity of Horizons and The Area Theorem'', (January, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/0001003 . Final version to appear in Annales Henri Poincare.
Jump To The First Citation Point In The Article37
Chrusciel, P.T., and Wald, R.M., ``Maximal Hypersurfaces in Stationary Asymptotically Flat Spacetimes'', Commun. Math. Phys., 163, 561-604, (1994).
Jump To The First Citation Point In The Article38
Corichi, A., Nucamendi, U., and Sudarsky, D., ``Einstein-Yang-Mills Isolated Horizons: Phase Space, Mechanics, Hair and Conjectures'', Phys. Rev. D, 62, 044046/19 pages, (2000). For a related online version see: A. Corichi, et al., ``Einstein-Yang-Mills Isolated Horizons: Phase Space, Mechanics, Hair and Conjectures'', (February, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/0002078 .
Jump To The First Citation Point In The Article39
Corley, S., and Jacobson, T., ``Hawking Spectrum and High Frequency Dispersion'', Phys. Rev. D, 54, 1568-1586, (1996). For a related online version see: S. Corley, et al., ``Hawking Spectrum and High Frequency Dispersion'', (January, 1996), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9601073 .
Jump To The First Citation Point In The Article40
Corley, S., and Jacobson, T., ``Lattice Black Holes'', Phys. Rev. D, 57, 6269-6279, (1998). For a related online version see: S. Corley, et al., ``Lattice Black Holes'', (September, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9709166 .
Jump To The First Citation Point In The Article41
Dou, D., Causal Sets, a Possible Interpretation for the Black Hole Entropy, and Related Topics, PhD Thesis, (SISSA, Trieste, 1999).
Jump To The First Citation Point In The Article42
Ellis, J., Hagelin, J.S., Nanopoulos, D.V., and Srednicki, M., ``Search for Violations of Quantum Mechanics'', Nucl. Phys. B, 241, 381-405, (1984).
Jump To The First Citation Point In The Article43
Flanagan, E.E., Marolf, D., and Wald, R.M., ``Proof of Classical Versions of the Bousso Entropy Bound and of the Generalized Second Law'', Phys. Rev. D, 62, 084035/11 pages, (2000). For a related online version see: E.E. Flanagan, et al., ``Proof of Classical Versions of the Bousso Entropy Bound and of the Generalized Second Law'', (August, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9908070 .
Jump To The First Citation Point In The Article44
Fredenhagen, K., and Haag, R., ``On the Derivation of the Hawking Radiation Associated with the Formation of a Black Hole'', Commun. Math. Phys., 127, 273-284, (1990).
Jump To The First Citation Point In The Article45
Friedrich, H., Racz, I., and Wald, R.M., ``On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon'', Commun. Math. Phys., 204, 691-707, (1999). For a related online version see: H. Friedrich, et al., ``On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon'', (November, 1998), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9811021 .
Jump To The First Citation Point In The Article46
Frolov, V.P., and Fursaev, D.V., ``Mechanism of Generation of Black Hole Entropy in Sakharov's Induced Gravity'', Phys. Rev. D, 56, 2212-2225, (1997). For a related online version see: V.P. Frolov, et al., ``Mechanism of Generation of Black Hole Entropy in Sakharov's Induced Gravity'', (March, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9703178 .
Jump To The First Citation Point In The Article47
Frolov, V.P., Fursaev, D.V., and Zelnikov, A.I., ``Statistical Origin of Black Hole Entropy in Induced Gravity'', Nucl. Phys. B, 486, 339-352, (1997). For a related online version see: V.P. Frolov, et al., ``Statistical Origin of Black Hole Entropy in Induced Gravity'', (July, 1996), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9607104 .
Jump To The First Citation Point In The Article48
Frolov, V.P., and Page, D.N., ``Proof of the Generalized Second Law for Quasistatic, Semiclassical Black Holes'', Phys. Rev. Lett., 71, 3902-3905, (1993).
Jump To The First Citation Point In The Article49
Geroch, R., colloquium given at Princeton University, unpublished, (December, 1971).
Jump To The First Citation Point In The Article50
Gibbons, G., and Hawking, S.W., ``Action Integrals and Partition Functions in Quantum Gravity'', Phys. Rev. D, 15, 2752-2756, (1977).
Jump To The First Citation Point In The Article51
Hartle, J., ``Generalized Quantum Theory in Evaporating Black Hole Spacetimes'', in Wald, R.M., ed., Black Holes andRelativistic Stars, 195-219, (University of Chicago Press, Chicago, 1998). For a related online version see: J. Hartle, ``Generalized Quantum Theory in Evaporating Black Hole Spacetimes'', (May, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9705022 .
Jump To The First Citation Point In The Article52
Hartle, J.B., and Hawking, S.W., ``Path Integral Derivation of Black Hole Radiance'', Phys. Rev. D, 13, 2188-2203, (1976).
Jump To The First Citation Point In The Article53
Hawking, S.W., ``Gravitational Radiationfrom Colliding Black Holes'', Phys. Rev. Lett., 26, 1344-1346, (1971).
Jump To The First Citation Point In The Article54
Hawking, S.W., ``Particle Creation by Black Holes'', Commun. Math. Phys., 43, 199-220, (1975).
Jump To The First Citation Point In The Article55
Hawking, S.W., and Ellis, G.F.R., The Large Scale Structure of Spacetime, (Cambridge University Press, Cambridge, 1973).
Jump To The First Citation Point In The Article56
Heusler, M., Black Hole Uniqueness Theorems, (Cambridge University Press, Cambridge, 1996).
Jump To The First Citation Point In The Article57
Holzhey, C., Larsen, F., and Wilzcek, F., ``Geometric and Renormalized Entropy in Conformal Field Theory'', Nucl. Phys. B, 424, 443-467, (1994).
Jump To The First Citation Point In The Article58
Horowitz, G., ``Quantum States of Black Holes'', in Wald, R.M., ed., Black Holes and Relativistic Stars, 241-266, (University of Chicago Press, Chicago, 1998). For a related online version see: G. Horowitz, ``Quantum States of Black Holes'', (April, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9704072 .
Jump To The First Citation Point In The Article59
Israel, W., ``Third Law of Black-Hole Dynamics: a Formulation and Proof'', Phys. Rev. Lett., 57, 397-399, (1986).
Jump To The First Citation Point In The Article60
Iyer, V., and Wald, R.M., ``Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy'', Phys. Rev. D, 50, 846-864, (1994).
Jump To The First Citation Point In The Article61
Iyer, V., and Wald, R.M., ``A Comparison of Noether Charge and Euclidean Methods for Computing the Entropy of Stationary Black Holes'', Phys. Rev. D, 52, 4430-4439, (1995). For a related online version see: V. Iyer, et al., ``A Comparison of Noether Charge and Euclidean Methods for Computing the Entropy of Stationary Black Holes'', (March, 1995), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9503052 .
Jump To The First Citation Point In The Article62
Jacobson, T., ``On the Origin of the Outgoing Black Hole Modes'', Phys. Rev. D, 53, 7082-7088, (1996). For a related online version see: T. Jacobson, ``On the Origin of the Outgoing Black Hole Modes'', (January, 1996), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9601064 .
Jump To The First Citation Point In The Article63
Jacobson, T., and Mattingly, D., ``Hawking radiation on a falling lattice'', Phys. Rev. D, 61, 024017/10 pages, (2000). For a related online version see: T. Jacobson, et al., ``Hawking radiation on a falling lattice'', (August, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9908099 .
Jump To The First Citation Point In The Article64
Kay, B.S., and Wald, R.M., ``Theorems on the Uniqueness and Thermal Properties of Stationary, Nonsingular, Quasifree States on Spacetimes with a Bifurcate Killing Horizon'', Phys. Rep., 207, 49-136, (1991).
Jump To The First Citation Point In The Article65
Lewandowski, J., ``Spacetimes Admitting Isolated Horizons'', Class. Quantum Grav., 17, L53-L59, (2000). For a related online version see: J. Lewandowski, ``Spacetimes Admitting Isolated Horizons'', (July, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9907058 .
Jump To The First Citation Point In The Article66
Maldacena, J.M., and Strominger, A., ``Black Hole Greybody Factors and D-Brane Spectroscopy'', Phys. Rev. D, 55, 861-870, (1997). For a related online version see: J.M. Maldacena, et al., ``Black Hole Greybody Factors and D-Brane Spectroscopy'', (September, 1996), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9609026 .
Jump To The First Citation Point In The Article67
Marolf, D., ``String/M-branes for Relativists'', (August, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9908045 .
Jump To The First Citation Point In The Article68
Misner, C.W., Thorne, K.S., and Wheeler, J.A., Gravitation, (Freeman, San Francisco, 1973).
Jump To The First Citation Point In The Article69
Mukohyama, S., ``Aspects of black hole entropy'', (December, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9912103 .
Jump To The First Citation Point In The Article70
Page, D.N., ``Defining Entropy Bounds'', (July, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/0007238 .
Jump To The First Citation Point In The Article71
Page, D.N., ``Huge Violations of Bekenstein's Entropy Bound'', (May, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/0005111 .
Jump To The First Citation Point In The Article72
Page, D.N., ``Subsystem Entropy Exceeding Bekenstein's Bound'', (July, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/0007237 .
Jump To The First Citation Point In The Article73
Parker, L., ``Quantized Fields and Particle Creation in Expanding Universes'', Phys. Rev., 183, 1057-1068, (1969).
Jump To The First Citation Point In The Article74
Peet, A., ``TASI lectures on black holes in string theory'', (August, 2000), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/0008241 .
Jump To The First Citation Point In The Article75
Pelath, M.A., and Wald, R.M., ``Comment on Entropy Bounds and the Generalized Second Law'', Phys. Rev. D, 60, 104009/4 pages, (1999). For a related online version see: M.A. Pelath, et al., ``Comment on entropy bounds and the generalized second law'', (January, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9901032 .
Jump To The First Citation Point In The Article76
Penrose, R., ``Singularities and Time-Asymmetry'', in Hawking, S.W., and Israel, W., eds., General Relativity, an Einstein Centennary Survey, 581-638, (Cambridge University Press, Cambridge, 1979).
Jump To The First Citation Point In The Article77
Penrose, R., ``Quasi-Local Mass and Angular Momentum'', Proc. R. Soc. London, A381, 53-63, (1982).
Jump To The First Citation Point In The Article78
Racz, I., and Wald, R.M., ``Global Extensions of Spacetimes Describing Asymptotic Final States of Black Holes'', Class. Quantum Grav., 13, 539-552, (1996). For a related online version see: I. Racz, et al., ``Global Extensions of Spacetimes Describing Asymptotic Final States of Black Holes'', (July, 1995), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9507055 .
Jump To The First Citation Point In The Article79
Reznik, B., ``Trans-Planckian Tail in a Theory with a Cutoff'', Phys. Rev. D, 55, 2152-2158, (1997). For a related online version see: B. Reznik, ``Trans-Planckian Tail in a Theory with a Cutoff'', (June, 1996), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9606083 .
Jump To The First Citation Point In The Article80
Sorkin, R., ``Two Topics Concerning Black Holes: Extremality of the Energy, Fractality of the Horizon'', in Fulling, S.A., ed., Proceedings of the Conference on Heat Kernel Techniques and Quantum Gravity, 387-407, (University of Texas Press, Austin, 1995). For a related online version see: R. Sorkin, ``Two Topics Concerning Black Holes: Extremality of the Energy, Fractality of the Horizon'', (August, 1995), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9508002 .
Jump To The First Citation Point In The Article81
Sorkin, R., ``How Wrinkled is the Surface of a Black Hole?'', in Wiltshire, D., ed., Proceedings of the First Australasian Conference on General Relativity and Gravitation, 163-174, (University of Adelaide Press, Adelaide, 1996). For a related online version see: R. Sorkin, ``How Wrinkled is the Surface of a Black Hole?'', (January, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9701056 .
Jump To The First Citation Point In The Article82
Sorkin, R.D., ``The Statistical Mechanics of Black Hole Thermodynamics'', in Wald, R.M., ed., Black Holes and Relativistic Stars, 177-194, (University of Chicago Press, Chicago, 1998). For a related online version see: R.D. Sorkin, ``The Statistical Mechanics of Black Hole Thermodynamics'', (May, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9705006 .
Jump To The First Citation Point In The Article83
Sorkin, R.D., Wald, R.M., and Zhang, Z.J., ``Entropy of Self-Gravitating Radiation'', Gen. Relativ. Gravit., 13, 1127-1146, (1981).
Jump To The First Citation Point In The Article84
Sudarsky, D., and Wald, R.M., ``Extrema of Mass, Stationarity and Staticity, and Solutions to the Einstein-Yang-Mills Equations'', Phys. Rev. D, 46, 1453-1474, (1992).
Jump To The First Citation Point In The Article85
Sudarsky, D., and Wald, R.M., ``Mass Formulas for Stationary Einstein-Yang-Mills Black Holes and a Simple Proof of Two Staticity Theorems'', Phys. Rev. D, 47, R5209-R5213, (1993).
Jump To The First Citation Point In The Article86
Susskind, L., ``The World as a Hologram'', J. Math. Phys., 36, 6377-6396, (1995). For a related online version see: L. Susskind, ``The World as a Hologram'', (September, 1994), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9409089 .
Jump To The First Citation Point In The Article87
Susskind, L., and Uglam, J., ``Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory'', Phys. Rev. D, 50, 2700-2711, (1994).
Jump To The First Citation Point In The Article88
't Hooft, G., ``On the Quantum Structure of a Black Hole'', Nucl. Phys. B, 256, 727-745, (1985).
Jump To The First Citation Point In The Article89
't Hooft, G., ``On the Quantization of Space and Time'', in Markov, M.A., Berezin, V.A., and Frolov, V.P., eds., Quantum Gravity, 551-567, (World Scientific Press, Singapore, 1988).
Jump To The First Citation Point In The Article90
Thorne, K.S., Zurek, W.H., and Price, R.H., ``The Thermal Atmosphere of a Black Hole'', in Thorne, K.S., Price, R.H., and Macdonald, D.A., eds., Black Holes: The Membrane Paradigm, 280-340, (Yale University Press, New Haven, 1986).
Jump To The First Citation Point In The Article91
Unruh, W.G., ``Notes on Black Hole Evaporation'', Phys. Rev. D, 14, 870-892, (1976).
Jump To The First Citation Point In The Article92
Unruh, W.G., ``Experimental Black-Hole Evaporation?'', Phys. Rev. Lett., 46, 1351-1353, (1981).
Jump To The First Citation Point In The Article93
Unruh, W.G., ``Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation'', Phys. Rev. D, 51, 2827-2838, (1995). For a related online version see: W.G. Unruh, ``Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation'', (September, 1994), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9409008 .
Jump To The First Citation Point In The Article94
Unruh, W.G., and Wald, R.M., ``Acceleration Radiation and the Generalized Second Law of Thermodynamics'', Phys. Rev. D, 25, 942-958, (1982).
Jump To The First Citation Point In The Article95
Unruh, W.G., and Wald, R.M., ``Entropy Bounds, Acceleration Radiation and the Generalized Second Law'', Phys. Rev. D, 27, 2271-2276, (1983).
Jump To The First Citation Point In The Article96
Unruh, W.G., and Wald, R.M., ``On Evolution Laws Taking Pure States to Mixed States in Quantum Field Theory'', Phys. Rev. D, 52, 2176-2182, (1995). For a related online version see: W.G. Unruh, et al., ``On Evolution Laws Taking Pure States to Mixed States in Quantum Field Theory'', (March, 1995), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/hep-th/9503024 .
Jump To The First Citation Point In The Article97
Visser, M., ``Hawking radiation without black hole entropy'', Phys. Rev. Lett., 80, 3436-3439, (1998). For a related online version see: M. Visser, ``Hawking radiation without black hole entropy'', (December, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9712016 .
Jump To The First Citation Point In The Article98
Wald, R.M., ``On Particle Creation by Black Holes'', Commun. Math. Phys., 45, 9-34, (1975).
Jump To The First Citation Point In The Article99
Wald, R.M., General Relativity, (University of Chicago Press, Chicago, 1984).
Jump To The First Citation Point In The Article100
Wald, R.M., ``Black Hole Entropy is the Noether Charge'', Phys. Rev. D, 48, R3427-R3431, (1993).
Jump To The First Citation Point In The Article101
Wald, R.M., Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, (University of Chicago Press, Chicago, 1994).
Jump To The First Citation Point In The Article102
Wald, R.M., ```Nernst Theorem' and Black Hole Thermodynamics'', Phys. Rev. D, 56, 6467-6474, (1997). For a related online version see: R.M. Wald, ```Nernst Theorem' and Black Hole Thermodynamics'', (April, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9704008 .
Jump To The First Citation Point In The Article103
Wald, R.M., ``Black Holes and Thermodynamics'', in Wald, R.M., ed., Black Holes and Relativistic Stars, 155-176, (University of Chicago Press, Chicago, 1998). For a related online version see: R.M. Wald, ``Black Holes and Thermodynamics'', (February, 1997), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9702022 .
Jump To The First Citation Point In The Article104
Wald, R.M., ``Gravitation, Thermodynamics, and Quantum Theory'', Class. Quantum Grav., 16, A177-A190, (1999). For a related online version see: R.M. Wald, ``Gravitation, Thermodynamics, and Quantum Theory'', (January, 1999), [Online Los Alamos Archive Preprint]: cited on 6 April 2001, External Linkhttp://arxiv.org/abs/gr-qc/9901033 .
Jump To The First Citation Point In The Article105
Zurek, W.H., and Thorne, K.S., ``Statistical Mechanical Origin of the Entropy of a Rotating, Charged Black Hole'', Phys. Rev. Lett., 54, 2171-2175, (1986).

image The Thermodynamics of Black Holes
Robert M. Wald
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