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Volumn 2009, Issue 6, 2009, Pages

Ten proofs of the generalized second law

Author keywords

2D Gravity; Black Holes

Indexed keywords


EID: 70350029095     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/06/021     Document Type: Article
Times cited : (69)

References (103)
  • 1
    • 33750485765 scopus 로고
    • Black holes and entropy
    • J.D. Bekenstein, 1973 Black holes and entropy, Phys. Rev. D 7 2333
    • (1973) Phys. Rev. , vol.7 , pp. 2333
    • Bekenstein, J.D.1
  • 2
    • 84938421990 scopus 로고
    • Particle creation by black holes
    • [Erratum ibid 46 (1976) 206]
    • S.W. Hawking, 1975 Particle creation by black holes, Commun. Math. Phys. 43 199 [Erratum ibid 46 (1976) 206]
    • (1975) Commun. Math. Phys. , vol.43 , pp. 199
    • Hawking, S.W.1
  • 3
    • 43049116711 scopus 로고
    • Gibbs vs Boltzmann entropies
    • E.T. Jaynes, 1965 Gibbs vs Boltzmann entropies, Am. J. Phys. 33 391
    • (1965) Am. J. Phys. , vol.33 , pp. 391
    • Jaynes, E.T.1
  • 4
    • 25944462264 scopus 로고
    • Entropy and black-hole thermodynamics
    • R.M. Wald, 1976 Entropy and black-hole thermodynamics, Phys. Rev. D 20 1271
    • (1976) Phys. Rev. , vol.20 , pp. 1271
    • Wald, R.M.1
  • 5
    • 33744773641 scopus 로고
    • Black hole thermodynamics and information loss in two-dimensions
    • [hep-th/9403137]
    • T.M. Fiola, J. Preskill, A. Strominger and S.P. Trivedi, 1994 Black hole thermodynamics and information loss in two-dimensions, Phys. Rev. D 50 3987 [hep-th/9403137]
    • (1994) Phys. Rev. , vol.50 , pp. 3987
    • Fiola, T.M.1    Preskill, J.2    Strominger, A.3    Trivedi, S.P.4
  • 6
    • 0033249501 scopus 로고    scopus 로고
    • Large fluctuations in the horizon area and what they can tell us about entropy and quantum gravity
    • [gr-qc/9902051]
    • R.D. Sorkin and D. Sudarsky, 1999 Large fluctuations in the horizon area and what they can tell us about entropy and quantum gravity, Class. Quant. Grav. 16 3835 [gr-qc/9902051]
    • (1999) Class. Quant. Grav. , vol.16 , Issue.12 , pp. 3835
    • Sorkin, R.D.1    Sudarsky, D.2
  • 7
    • 19144362507 scopus 로고    scopus 로고
    • Ten theses on black hole entropy
    • [hep-th/0504037]
    • R.D. Sorkin, 2005 Ten theses on black hole entropy, Stud. Hist. Philos. Mod. Phys. 36 291 [hep-th/0504037]
    • (2005) Stud. Hist. Philos. Mod. Phys. , vol.36 , pp. 291
    • Sorkin, R.D.1
  • 8
    • 0038514316 scopus 로고    scopus 로고
    • Horizon entropy
    • [gr-qc/0302099]
    • T. Jacobson and R. Parentani, 2003 Horizon entropy, Found. Phys. 33 323 [gr-qc/0302099]
    • (2003) Found. Phys. , vol.33 , pp. 323
    • Jacobson, T.1    Parentani, R.2
  • 9
    • 70350005628 scopus 로고
    • Gravitational interaction of a black hole with nearby matter
    • R.H. Price, K.S. Thorne and I.H. Redmount, 1986 Gravitational interaction of a black hole with nearby matter, in K.S. Thorne, R.H. Price and D.A. Macdonald, Black holes: the membrane paradigm, Yale University Press, New Haven CT U.S.A.
    • (1986) Black Holes: The Membrane Paradigm
    • Price, R.H.1    Thorne, K.S.2    Redmount, I.H.3
  • 11
    • 34547697674 scopus 로고    scopus 로고
    • The second law of thermodynamics in the accelerating universe
    • [0705.1264]
    • J. Zhou, B. Wang, Y. Gong and E. Abdalla, 2007 The second law of thermodynamics in the accelerating universe, Phys. Lett. B 652 86 [0705.1264]
    • (2007) Phys. Lett. , vol.652 , pp. 86
    • Zhou, J.1    Wang, B.2    Gong, Y.3    Abdalla, E.4
  • 12
    • 35748976236 scopus 로고    scopus 로고
    • A covariant entropy conjecture on cosmological dynamical horizon
    • [0708.3670]
    • S. He and H.-b. Zhang, 2007 A covariant entropy conjecture on cosmological dynamical horizon J. High Energy Phys. JHEP10(2007)077 [0708.3670]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.10 , pp. 077
    • He, S.1    Zhang, H.-B.2
  • 13
    • 0003334707 scopus 로고    scopus 로고
    • The statistical mechanics of black hole thermodynamics
    • R.D. Sorkin, 1998 The statistical mechanics of black hole thermodynamics, in R.M. Wald, Black holes and relativistic stars, University of Chicago Press, Chicago U.S.A., [gr-qc/9705006]
    • (1998) Black Holes and Relativistic Stars
    • Sorkin, R.D.1
  • 14
    • 0001645653 scopus 로고
    • Proof of the generalized second law for quasistationary semiclassical black holes
    • V.P. Frolov and D.N. Page, 1993 Proof of the generalized second law for quasistationary semiclassical black holes, Phys. Rev. Lett. 71 3902 [gr-qc/9302017]
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 3902
    • Frolov, V.P.1    Page, D.N.2
  • 16
    • 85037905021 scopus 로고    scopus 로고
    • The ''physical process'' version of the first law and the generalized second law for charged and rotating black holes
    • S. Gao and R.M. Wald, 2001 The ''physical process'' version of the first law and the generalized second law for charged and rotating black holes, Phys. Rev. D 64 084020 [gr-qc/0106071]
    • (2001) Phys. Rev. , vol.64 , pp. 084020
    • Gao, S.1    Wald, R.M.2
  • 17
    • 0000957118 scopus 로고
    • Quantum field theory, horizons and thermodynamics
    • D.W. Sciama, P. Candelas and D. Deutsch, 1981 Quantum field theory, horizons and thermodynamics, Adv. Phys. 30 327
    • (1981) Adv. Phys. , vol.30 , pp. 327
    • Sciama, D.W.1    Candelas, P.2    Deutsch, D.3
  • 19
    • 70350013789 scopus 로고
    • Black hole thermodynamics
    • R.M. Wald, 1988 Black hole thermodynamics in B.R. Iyer, A. Kembhavi, J.V. Narlikar, and C.V. Vishveshwara, Highlights in gravitation and cosmology, Cambridge University Press, Cambridge U.K.
    • (1988) Highlights in Gravitation and Cosmology
    • Wald, R.M.1
  • 20
    • 0004346351 scopus 로고
    • Black holes and thermodynamics
    • R.M. Wald, 1992 Black holes and thermodynamics, in V. De Sabbata and Z. Zhang, Black hole physics, Kluwer Academic Publishers, Dordrecht The Netherlands
    • (1992) Black Hole Physics
    • Wald, R.M.1
  • 22
    • 0000830681 scopus 로고
    • Gravitational radiation from colliding black holes
    • S.W. Hawking, 1971 Gravitational radiation from colliding black holes, Phys. Rev. Lett. 26 1344
    • (1971) Phys. Rev. Lett. , vol.26 , pp. 1344
    • Hawking, S.W.1
  • 24
    • 5844266551 scopus 로고
    • General properties of entropy
    • A. Wehrl, 1978 General properties of entropy, Rev. Mod. Phys. 50 221
    • (1978) Rev. Mod. Phys. , vol.50 , pp. 221
    • Wehrl, A.1
  • 25
    • 17144419305 scopus 로고    scopus 로고
    • Proof of Classical Versions of the Bousso entropy bound and of the generalized second law
    • E.E. Flanagan, D. Marolf and R.M. Wald, 2000 Proof of Classical Versions of the Bousso entropy bound and of the generalized second law, Phys. Rev. D 62 084035 [hep-th/9908070]
    • (2000) Phys. Rev. , vol.62 , pp. 084035
    • Flanagan, E.E.1    Marolf, D.2    Wald, R.M.3
  • 26
    • 0242352508 scopus 로고    scopus 로고
    • Simple sufficient conditions for the generalized covariant entropy bound
    • R. Bousso, E.E. Flanagan and D. Marolf, 2003 Simple sufficient conditions for the generalized covariant entropy bound, Phys. Rev. D 68 064001 [hep-th/0305149]
    • (2003) Phys. Rev. , vol.68 , pp. 064001
    • Bousso, R.1    Flanagan, E.E.2    Marolf, D.3
  • 27
    • 4043180216 scopus 로고
    • Black holes do evaporate thermally
    • J.M. Bardeen, 1981 Black holes do evaporate thermally, Phys. Rev. Lett. 46 382
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 382
    • Bardeen, J.M.1
  • 28
    • 21244488433 scopus 로고
    • The back reaction effect in particle creation in curved space-time
    • R.M. Wald, 1977 The back reaction effect in particle creation in curved space-time, Commun. Math. Phys. 54 1
    • (1977) Commun. Math. Phys. , vol.54 , pp. 1
    • Wald, R.M.1
  • 30
    • 0000962387 scopus 로고
    • Higher derivative Lagrangians, nonlocality, problems and solutions
    • J.Z. Simon, 1990 Higher derivative Lagrangians, nonlocality, problems and solutions, Phys. Rev. D 41 3720
    • (1990) Phys. Rev. , vol.41 , pp. 3720
    • Simon, J.Z.1
  • 31
    • 33845932588 scopus 로고
    • Statistical mechanical origin of the entropy of a rotating, charged black hole
    • W.H. Zurek and K.S. Thorne, 1985 Statistical mechanical origin of the entropy of a rotating, charged black hole, Phys. Rev. Lett. 54 2171
    • (1985) Phys. Rev. Lett. , vol.54 , pp. 2171
    • Zurek, W.H.1    Thorne, K.S.2
  • 33
    • 0001036214 scopus 로고    scopus 로고
    • New proof of the generalized second law
    • S. Mukohyama, 1997 New proof of the generalized second law, Phys. Rev. D 56 2192 [gr-qc/9611017]
    • (1997) Phys. Rev. , vol.56 , pp. 2192
    • Mukohyama, S.1
  • 34
    • 24544476115 scopus 로고
    • On the quantum structure of a black hole
    • G. 't Hooft, 1985 On the quantum structure of a black hole, Nucl. Phys. B 256 727
    • (1985) Nucl. Phys. , vol.256 , pp. 727
    • Hooft, T.G.1
  • 35
    • 34447332258 scopus 로고    scopus 로고
    • Black hole entanglement entropy regularized in a freely falling frame
    • T. Jacobson and R. Parentani, 2007 Black hole entanglement entropy regularized in a freely falling frame, Phys. Rev. D 76 024006 [hep-th/0703233]
    • (2007) Phys. Rev. , vol.76 , pp. 024006
    • Jacobson, T.1    Parentani, R.2
  • 36
    • 25744453197 scopus 로고
    • Black hole entropy in canonical quantum gravity and superstring theory
    • L. Susskind and J. Uglum, 1994 Black hole entropy in canonical quantum gravity and superstring theory, Phys. Rev. D 50 2700 [hep-th/9401070]
    • (1994) Phys. Rev. , vol.50 , pp. 2700
    • Susskind, L.1    Uglum, J.2
  • 38
    • 0031575490 scopus 로고    scopus 로고
    • Statistical origin of black hole entropy in induced gravity
    • V.P. Frolov, D.V. Fursaev and A.I. Zelnikov, 1997 Statistical origin of black hole entropy in induced gravity, Nucl. Phys. B 486 339 [hep-th/9607104]
    • (1997) Nucl. Phys. , vol.486 , pp. 339
    • Frolov, V.P.1    Fursaev, D.V.2    Zelnikov, A.I.3
  • 39
    • 0032399426 scopus 로고    scopus 로고
    • Thermal fields, entropy and black holes
    • V.P. Frolov and D.V. Fursaev, 1998 Thermal fields, entropy and black holes, Class. Quant. Grav. 15 2041 [hep-th/9802010]
    • (1998) Class. Quant. Grav. , vol.15 , Issue.8 , pp. 2041
    • Frolov, V.P.1    Fursaev, D.V.2
  • 40
    • 23544457811 scopus 로고
    • Black hole entropy is the Noether charge
    • R.M. Wald, 1993 Black hole entropy is the Noether charge, Phys. Rev. D 48 3427 [gr-qc/9307038]
    • (1993) Phys. Rev. , vol.48 , pp. 3427
    • Wald, R.M.1
  • 41
    • 33847344079 scopus 로고
    • Increase of black hole entropy in higher curvature gravity
    • T. Jacobson, G. Kang and R.C. Myers, 1995 Increase of black hole entropy in higher curvature gravity, Phys. Rev. D 52 3518 [gr-qc/9503020]
    • (1995) Phys. Rev. , vol.52 , pp. 3518
    • Jacobson, T.1    Kang, G.2    Myers, R.C.3
  • 42
    • 0001915877 scopus 로고    scopus 로고
    • On one loop renormalization of black hole entropy
    • D.V. Fursaev and S.N. Solodukhin, 1996 On one loop renormalization of black hole entropy, Phys. Lett. B 365 51 [hep-th/9412020]
    • (1996) Phys. Lett. , vol.365 , pp. 51
    • Fursaev, D.V.1    Solodukhin, S.N.2
  • 44
    • 26144442056 scopus 로고
    • One loop renormalization of black hole entropy due to nonminimally coupled matter
    • S.N. Solodukhin, 1995 One loop renormalization of black hole entropy due to nonminimally coupled matter, Phys. Rev. D 52 7046 [hep-th/9504022]
    • (1995) Phys. Rev. , vol.52 , pp. 7046
    • Solodukhin, S.N.1
  • 45
    • 0001004058 scopus 로고
    • Thermodynamics of quantum fields in black hole backgrounds
    • S.P. de Alwis and N. Ohta, 1995 Thermodynamics of quantum fields in black hole backgrounds, Phys. Rev. D 52 3529 [hep-th/9504033]
    • (1995) Phys. Rev. , vol.52 , pp. 3529
    • De Alwis, S.P.1    Ohta, N.2
  • 46
    • 0034893538 scopus 로고    scopus 로고
    • Renormalized black hole entropy via the ''brick wall'' method
    • E. Winstanley, 2001 Renormalized black hole entropy via the ''brick wall'' method, Phys. Rev. D 63 084013 [hep-th/0011176]
    • (2001) Phys. Rev. , vol.63 , pp. 084013
    • Winstanley, E.1
  • 47
    • 0000149674 scopus 로고
    • Black hole entropy and entropy of entanglement
    • For spin-1 fields see D.N. Kabat, 1995 Black hole entropy and entropy of entanglement, Nucl. Phys. B 453 281 [hep-th/9503016]
    • (1995) Nucl. Phys. , vol.453 , pp. 281
    • Kabat, D.N.1
  • 48
    • 0029688615 scopus 로고    scopus 로고
    • Renormalization of black hole entropy and of the gravitational coupling constant
    • F. Larsen and F. Wilczek, 1996 Renormalization of black hole entropy and of the gravitational coupling constant, Nucl. Phys. B 458 249 [hep-th/9506066]
    • (1996) Nucl. Phys. , vol.458 , pp. 249
    • Larsen, F.1    Wilczek, F.2
  • 49
    • 0000364338 scopus 로고    scopus 로고
    • Renormalized thermodynamic entropy of black holes
    • Dimensions Odd In Fields Scalar For Discrepency
    • For a seeming discrepency for scalar fields in odd dimensions, see S.P. Kim, S.K. Kim, K.-S. Soh and J.H. Yee, 1997 Renormalized thermodynamic entropy of black holes, Phys. Rev. D 55 2159 [gr-qc/9608015]
    • (1997) Phys. Rev. , vol.55 , pp. 2159
    • Seeming, F.A.1    Kim, S.P.2    Kim, S.K.3    Soh, K.-S.4    Yee, J.H.5
  • 50
    • 0001168166 scopus 로고    scopus 로고
    • Black hole entropy: Thermodynamics, statistical-mechanics and subtraction procedure
    • For some two-dimensional results, see V.P. Frolov, D.V. Fursaev and A.I. Zelnikov, 1996 Black hole entropy: thermodynamics, statistical-mechanics and subtraction procedure, Phys. Lett. B 382 220 [hep-th/9603175]
    • (1996) Phys. Lett. , vol.382 , pp. 220
    • Frolov, S.P.V.1    Fursaev, D.V.2    Zelnikov, A.I.3
  • 51
    • 0000084865 scopus 로고    scopus 로고
    • Black hole entropy: Off-shell vs on-shell
    • For some two-dimensional results, see V.P. Frolov, D.V. Fursaev and A.I. Zelnikov, 1996 Black hole entropy: off-shell vs on-shell, Phys. Rev. D 54 2711 [hep-th/9512184]
    • (1996) Phys. Rev. , vol.54 , pp. 2711
    • Frolov, S.P.V.1    Fursaev, D.V.2    Zelnikov, A.I.3
  • 52
    • 24944555508 scopus 로고    scopus 로고
    • Anti-de Sitter space and holography
    • E. Witten, 1998 Anti-de Sitter space and holography Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 253
    • Witten, E.1
  • 53
    • 0000996798 scopus 로고
    • Toward a proof of entropy increase in the presence of quantum black holes
    • R.D. Sorkin, 1986 Toward a proof of entropy increase in the presence of quantum black holes, Phys. Rev. Lett. 56 1885
    • (1986) Phys. Rev. Lett. , vol.56 , pp. 1885
    • Sorkin, R.D.1
  • 55
    • 0001594435 scopus 로고
    • Dynamical origin of the entropy of a black hole
    • See also V.P. Frolov and I. Novikov, 1993 Dynamical origin of the entropy of a black hole, Phys. Rev. D 48 4545 [gr-qc/9309001]
    • (1993) Phys. Rev. , vol.48 , pp. 4545
    • Novikov, I.1
  • 56
    • 0001414991 scopus 로고
    • Wave function of a black hole and the dynamical origin of entropy
    • A.O. Barvinsky, V.P. Frolov and A.I. Zelnikov, 1995 Wave function of a black hole and the dynamical origin of entropy, Phys. Rev. D 51 1741 [gr-qc/9404036]
    • (1995) Phys. Rev. , vol.51 , pp. 1741
    • Barvinsky, A.O.1    Frolov, V.P.2    Zelnikov, A.I.3
  • 57
    • 0033234135 scopus 로고    scopus 로고
    • Trans-Planckian redshifts and the substance of the space-time river
    • T. Jacobson, 1999 Trans-Planckian redshifts and the substance of the space-time river, Prog. Theor. Phys. Suppl. 136 1 [hep-th/0001085]
    • (1999) Prog. Theor. Phys. Suppl. , vol.136 , pp. 1
    • Jacobson, T.1
  • 58
    • 33745497729 scopus 로고    scopus 로고
    • Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
    • S.L. Dubovsky and S.M. Sibiryakov, 2006 Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind, Phys. Lett. B 638 509 [hep-th/0603158]
    • (2006) Phys. Lett. , vol.638 , pp. 509
    • Dubovsky, S.L.1    Sibiryakov, S.M.2
  • 59
    • 34347368967 scopus 로고    scopus 로고
    • Lorentz violation and perpetual motion
    • C. Eling, B.Z. Foster, T. Jacobson and A.C. Wall, 2007 Lorentz violation and perpetual motion, Phys. Rev. D 75 101502 [hep-th/0702124]
    • (2007) Phys. Rev. , vol.75 , pp. 101502
    • Eling, C.1    Foster, B.Z.2    Jacobson, T.3    Wall, A.C.4
  • 61
    • 33645920343 scopus 로고    scopus 로고
    • A covariant entropy conjecture
    • R. Bousso, 1999 A covariant entropy conjecture J. High Energy Phys. JHEP07(1999)004 [hep-th/9905177]
    • (1999) J. High Energy Phys. , vol.1999 , Issue.7 , pp. 004
    • Bousso, R.1
  • 62
    • 0036659444 scopus 로고    scopus 로고
    • The holographic principle
    • R. Bousso, 2002 The holographic principle, Rev. Mod. Phys. 74 825 [hep-th/0203101]
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 825
    • Bousso, R.1
  • 63
    • 33750708757 scopus 로고
    • A universal upper bound on the entropy to energy ratio for bounded systems
    • J.D. Bekenstein, 1981 A universal upper bound on the entropy to energy ratio for bounded systems, Phys. Rev. D 23 287
    • (1981) Phys. Rev. , vol.23 , pp. 287
    • Bekenstein, J.D.1
  • 64
    • 0038059097 scopus 로고    scopus 로고
    • Light-sheets and Bekenstein's bound
    • R. Bousso, 2003 Light-sheets and Bekenstein's bound, Phys. Rev. Lett. 90 121302 [hep-th/0210295]
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 121302
    • Bousso, R.1
  • 65
    • 1342345404 scopus 로고    scopus 로고
    • On the status of highly entropic objects
    • D. Marolf and R.D. Sorkin, 2004 On the status of highly entropic objects, Phys. Rev. D 69 024014 [hep-th/0309218]
    • (2004) Phys. Rev. , vol.69 , pp. 024014
    • Marolf, D.1    Sorkin, R.D.2
  • 66
    • 33646072397 scopus 로고
    • Acceleration radiation and generalized second law of thermodynamics
    • W.G. Unruh and R.M. Wald, 1982 Acceleration radiation and generalized second law of thermodynamics, Phys. Rev. D 25 942
    • (1982) Phys. Rev. , vol.25 , pp. 942
    • Unruh, W.G.1    Wald, R.M.2
  • 67
    • 12744275404 scopus 로고
    • Entropy bounds and the second law for black holes
    • See also J.D. Bekenstein, 1983 Entropy bounds and the second law for black holes, Phys. Rev. D 27 2262
    • (1983) Phys. Rev. , vol.27 , pp. 2262
    • Bekenstein, J.D.1
  • 68
    • 33744635833 scopus 로고
    • Entropy bounds, acceleration radiation, and the generalized second law
    • W.G. Unruh and R.M. Wald, 1983 Entropy bounds, acceleration radiation, and the generalized second law, Phys. Rev. D 27 2271
    • (1983) Phys. Rev. , vol.27 , pp. 2271
    • Unruh, W.G.1    Wald, R.M.2
  • 70
    • 37649029397 scopus 로고    scopus 로고
    • Are there hyperentropic objects?
    • J.D. Bekenstein, 2004 Are there hyperentropic objects?, Phys. Rev. D 70 121502 [hep-th/0410106]
    • (2004) Phys. Rev. , vol.70 , pp. 121502
    • Bekenstein, J.D.1
  • 72
    • 36749106982 scopus 로고
    • On the duality condition for a Hermitian scalar field
    • J.J. Bisognano and E.H. Wichmann, 1975 On the duality condition for a Hermitian scalar field, J. Math. Phys. 16 985
    • (1975) J. Math. Phys. , vol.16 , pp. 985
    • Bisognano, J.J.1    Wichmann, E.H.2
  • 73
    • 0000973555 scopus 로고
    • Acceleration radiation in interacting field theories
    • W.G. Unruh and N. Weiss, 1984 Acceleration radiation in interacting field theories, Phys. Rev. D 29 1656
    • (1984) Phys. Rev. , vol.29 , pp. 1656
    • Unruh, W.G.1    Weiss, N.2
  • 74
    • 33646061571 scopus 로고
    • Comment on a universal upper bound on the entropy to energy ratio for bounded systems
    • D.N. Page, 1982 Comment on a universal upper bound on the entropy to energy ratio for bounded systems, Phys. Rev. D 26 947
    • (1982) Phys. Rev. , vol.26 , pp. 947
    • Page, D.N.1
  • 75
    • 17544376178 scopus 로고
    • Entropy bounds and black hole remnants
    • J.D. Bekenstein, 1994 Entropy bounds and black hole remnants, Phys. Rev. D 49 1912 [gr-qc/9307035]
    • (1994) Phys. Rev. , vol.49 , pp. 1912
    • Bekenstein, J.D.1
  • 76
    • 70350002572 scopus 로고    scopus 로고
    • J.D. Bekenstein, On Page's examples challenging the entropy bound, [gr-qc/0006003]
    • Bekenstein, J.D.1
  • 77
    • 25444448764 scopus 로고    scopus 로고
    • Hawking radiation and black hole thermodynamics
    • D.N. Page, 2005 Hawking radiation and black hole thermodynamics, New J. Phys. 7 203 [hep-th/0409024]
    • (2005) New J. Phys. , vol.7 , Issue.1 , pp. 203
    • Page, D.N.1
  • 78
    • 23044442685 scopus 로고    scopus 로고
    • Note on bound states and the Bekenstein bound
    • D. Marolf and R. Roiban, 2004 Note on bound states and the Bekenstein bound J. High Energy Phys. JHEP08(2004)033 [hep-th/0406037]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.8 , pp. 033
    • Marolf, D.1    Roiban, R.2
  • 79
    • 0343076159 scopus 로고    scopus 로고
    • Comments on a covariant entropy conjecture
    • D.A. Lowe, 1999 Comments on a covariant entropy conjecture J. High Energy Phys. JHEP10(1999)026 [hep-th/9907062]
    • (1999) J. High Energy Phys. , vol.1999 , Issue.10 , pp. 026
    • Lowe, D.A.1
  • 80
    • 3242736820 scopus 로고    scopus 로고
    • The thermodynamics of black holes
    • R.M. Wald, 2001 The thermodynamics of black holes Living Rev. Rel. 4 6 [gr-qc/9912119]
    • (2001) Living Rev. Rel. , vol.4 , pp. 6
    • Wald, R.M.1
  • 81
    • 33751520323 scopus 로고    scopus 로고
    • Why is CPT fundamental?
    • O.W. Greenberg, 2006 Why is CPT fundamental?, Found. Phys. 36 1535 [hep-ph/0309309]
    • (2006) Found. Phys. , vol.36 , pp. 1535
    • Greenberg, O.W.1
  • 82
    • 0001930151 scopus 로고
    • Completely positive maps and entropy inequalities
    • G. Lindblad, 1975 Completely positive maps and entropy inequalities, Commun. Math. Phys. 40 147, http://projecteuclid.org/euclid.cmp/1103860462
    • (1975) Commun. Math. Phys. , vol.40 , pp. 147
    • Lindblad, G.1
  • 84
    • 0042030118 scopus 로고
    • Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
    • For a generalization to arbitrary *-algebras, see A. Uhlmann, 1977 Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory Commun. Math. Phys. 54 21 [http://www.slac.stanford.edu/spires/find/hep/ www?irn=480770]
    • (1977) Commun. Math. Phys. , vol.54 , Issue.1 , pp. 21
    • Uhlmann, S.A.1
  • 85
    • 0031324832 scopus 로고    scopus 로고
    • Forks in the road, on the way to quantum gravity
    • R.D. Sorkin, 1997 Forks in the road, on the way to quantum gravity, Int. J. Theor. Phys. 36 2759 [gr-qc/9706002]
    • (1997) Int. J. Theor. Phys. , vol.36 , pp. 2759
    • Sorkin, R.D.1
  • 87
    • 38049037762 scopus 로고    scopus 로고
    • The renormalized stress tensor in Kerr space-time: Numerical results for the Hartle-Hawking vacuum
    • G. Duffy and A.C. Ottewill, 2008 The renormalized stress tensor in Kerr space-time: numerical results for the Hartle-Hawking vacuum, Phys. Rev. D 77 024007 [gr-qc/0507116]
    • (2008) Phys. Rev. , vol.77 , pp. 024007
    • Duffy, G.1    Ottewill, A.C.2
  • 88
    • 85008097854 scopus 로고
    • Relative entropy of states of von Neumann algebras
    • H. Araki, 1976 Relative entropy of states of Von Neumann algebras Publ. Res. Inst. Math. Sci. Kyoto 1976 809
    • (1976) Publ. Res. Inst. Math. Sci. Kyoto , vol.1976 , pp. 809
    • Araki, H.1
  • 89
    • 36849019935 scopus 로고    scopus 로고
    • From Unruh temperature to generalized Bousso bound
    • A. Pesci, 2007 From Unruh temperature to generalized Bousso bound, Class. Quant. Grav. 24 6219 [0708.3729]
    • (2007) Class. Quant. Grav. , vol.24 , Issue.24 , pp. 6219
    • Pesci, A.1
  • 90
    • 70350016782 scopus 로고    scopus 로고
    • R. Guedens (unpublished), as cited in ref. [22]
    • R. Guedens (unpublished), as cited in ref. [22]
  • 91
    • 42749101728 scopus 로고    scopus 로고
    • A quantum Bousso bound
    • A. Strominger and D.M. Thompson, 2004 A quantum Bousso bound, Phys. Rev. D 70 044007 [hep-th/0303067]
    • (2004) Phys. Rev. , vol.70 , pp. 044007
    • Strominger, A.1    Thompson, D.M.2
  • 92
    • 24244448324 scopus 로고
    • The endpoint of Hawking radiation
    • J.G. Russo, L. Susskind and L. Thorlacius, 1992 The endpoint of Hawking radiation, Phys. Rev. D 46 3444 [hep-th/9206070]
    • (1992) Phys. Rev. , vol.46 , pp. 3444
    • Russo, J.G.1    Susskind, L.2    Thorlacius, L.3
  • 94
    • 30244524015 scopus 로고
    • Black holes and membranes in higher dimensional theories with dilaton fields
    • G.W. Gibbons and K.-i. Maeda, 1988 Black holes and membranes in higher dimensional theories with dilaton fields, Nucl. Phys. B 298 741
    • (1988) Nucl. Phys. , vol.298 , pp. 741
    • Gibbons, G.W.-I.1    Maeda, K.2
  • 95
    • 33744512007 scopus 로고
    • Black hole entropy in two-dimensions
    • R.C. Myers, 1994 Black hole entropy in two-dimensions, Phys. Rev. D 50 6412 [hep-th/9405162]
    • (1994) Phys. Rev. , vol.50 , pp. 6412
    • Myers, R.C.1
  • 96
    • 2342436763 scopus 로고    scopus 로고
    • Notes on spacetime thermodynamics and the observer-dependence of entropy
    • D. Marolf, D. Minic and S. F. Ross, 2004 Notes on spacetime thermodynamics and the observer-dependence of entropy, Phys. Rev. D 69 064006 [hep-th/0310022]
    • (2004) Phys. Rev. , vol.69 , pp. 064006
    • Marolf, D.1    Minic, D.2    Ross, S.F.3
  • 97
    • 23544462757 scopus 로고
    • Averaged energy conditions and quantum inequalities
    • L.H. Ford and T.A. Roman, 1995 Averaged energy conditions and quantum inequalities, Phys. Rev. D 51 4277 [gr-qc/9410043]
    • (1995) Phys. Rev. , vol.51 , pp. 4277
    • Ford, L.H.1    Roman, T.A.2
  • 98
    • 18244374766 scopus 로고    scopus 로고
    • The quantum interest conjecture
    • L.H. Ford and T.A. Roman, 1999 The quantum interest conjecture, Phys. Rev. D 60 104018 [gr-qc/9901074]
    • (1999) Phys. Rev. , vol.60 , pp. 104018
    • Ford, L.H.1    Roman, T.A.2
  • 99
    • 0034869240 scopus 로고    scopus 로고
    • Classical scalar fields and violations of the second law
    • L.H. Ford and T.A. Roman, 2001 Classical scalar fields and violations of the second law, Phys. Rev. D 64 024023 [gr-qc/0009076]
    • (2001) Phys. Rev. , vol.64 , pp. 024023
    • Ford, L.H.1    Roman, T.A.2
  • 100
    • 4644275078 scopus 로고    scopus 로고
    • A finite entanglement entropy and the c-theorem
    • H. Casini and M. Huerta, 2004 A finite entanglement entropy and the c-theorem, Phys. Lett. B 600 142 [hep-th/0405111]
    • (2004) Phys. Lett. , vol.600 , pp. 142
    • Casini, H.1    Huerta, M.2
  • 102
    • 0039768613 scopus 로고
    • Entropy and area
    • M. Srednicki, 1993 Entropy and area, Phys. Rev. Lett. 71 666 [hep-th/9303048]
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 666
    • Srednicki, M.1
  • 103
    • 59649122621 scopus 로고    scopus 로고
    • Renormalized thermal entropy in field theory
    • S. Cacciatori, F. Costa and F. Piazza, 2009 Renormalized thermal entropy in field theory, Phys. Rev. D 79 025006 [0803.4087]
    • (2009) Phys. Rev. , vol.79 , pp. 025006
    • Cacciatori, S.1    Costa, F.2    Piazza, F.3


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