Deriving the first law of black hole thermodynamics without entanglement
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R.M. Wald, Black hole entropy is the Noether charge, Phys. Rev. D 48 (1993) 3427 [ gr-qc/9307038 ] [ INSPIRE ].
V. Iyer and R.M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy, Phys. Rev. D 50 (1994) 846 [ gr-qc/9403028 ] [ INSPIRE ].
J.M. Bardeen, B. Carter and S. Hawking, The four laws of black hole mechanics, Commun. Math. Phys. 31 (1973) 161.
T. Faulkner, M. Guica, T. Hartman, R.C. Myers and M. Van Raamsdonk, Gravitation from entanglement in holographic CFTs, JHEP 03 (2014) 051 [ arXiv:1312.7856 ] [ INSPIRE ].
D.D. Blanco, H. Casini, L.-Y. Hung and R.C. Myers, Relative entropy and holography, JHEP 08 (2013) 060 [ arXiv:1305.3182 ] [ INSPIRE ].
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [ hep-th/0603001 ] [ INSPIRE ].
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [ hep-th/0605073 ] [ INSPIRE ].
J. Hammersley, Extracting the bulk metric from boundary information in asymptotically AdS spacetimes, JHEP 12 (2006) 047 [ hep-th/0609202 ] [ INSPIRE ].
J. Hammersley, Numerical metric extraction in AdS/CFT, Gen. Rel. Grav. 40 (2008) 1619 [ arXiv:0705.0159 ] [ INSPIRE ].
S. Bilson, Extracting spacetimes using the AdS/CFT conjecture, JHEP 08 (2008) 073 [ arXiv:0807.3695 ] [ INSPIRE ].
M. Nozaki, T. Numasawa, A. Prudenziati and T. Takayanagi, Dynamics of entanglement entropy from Einstein equation, Phys. Rev. D 88 (2013) 026012 [ arXiv:1304.7100 ] [ INSPIRE ].
N. Lashkari, M.B. McDermott and M. Van Raamsdonk, Gravitational dynamics from entanglement ‘thermodynamics’, JHEP 04 (2014) 195 [ arXiv:1308.3716 ] [ INSPIRE ].
J. Bhattacharya and T. Takayanagi, Entropic counterpart of perturbative Einstein equation, JHEP 10 (2013) 219 [ arXiv:1308.3792 ] [ INSPIRE ].
D. Kabat, G. Lifschytz, S. Roy and D. Sarkar, Holographic representation of bulk fields with spin in AdS/CFT, Phys. Rev. D 86 (2012) 026004 [ arXiv:1204.0126 ] [ INSPIRE ].
B. Swingle and M. Van Raamsdonk, Universality of gravity from entanglement, arXiv:1405.2933 [ INSPIRE ].
T. Faulkner, A. Lewkowycz and J. Maldacena, Quantum corrections to holographic entanglement entropy, JHEP 11 (2013) 074 [ arXiv:1307.2892 ] [ INSPIRE ].
W.R. Kelly and A.C. Wall, Coarse-grained entropy and causal holographic information in AdS/CFT, JHEP 03 (2014) 118 [ arXiv:1309.3610 ] [ INSPIRE ].
R.D. Sorkin, Introduction to topological geons, in NATO ASIB Proc. 138: topological structure of space-time, P.G. Bergmann and V. de Sabbata eds., U.S.A. (1986).
T. Hartman and J. Maldacena, Time evolution of entanglement entropy from black hole interiors, JHEP 05 (2013) 014 [ arXiv:1303.1080 ] [ INSPIRE ].
P. Calabrese and J.L. Cardy, Evolution of entanglement entropy in one-dimensional systems, J. Stat. Mech. 0504 (2005) P04010 [ cond-mat/0503393 ] [ INSPIRE ].
S.D. Mathur, The fuzzball proposal for black holes: an elementary review, Fortsch. Phys. 53 (2005) 793 [ hep-th/0502050 ] [ INSPIRE ].
S.L. Braunstein, S. Pirandola and K. Życzkowski, Better late than never: information retrieval from black holes, Phys. Rev. Lett. 110 (2013) 101301 [ arXiv:0907.1190 ] [ INSPIRE ].
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, Black holes: complementarity or firewalls?, JHEP 02 (2013) 062 [ arXiv:1207.3123 ] [ INSPIRE ].
V. Balasubramanian, P. Hayden, A. Maloney, D. Marolf and S.F. Ross, Multiboundary wormholes and holographic entanglement, Class. Quant. Grav. 31 (2014) 185015 [ arXiv:1406.2663 ] [ INSPIRE ].
T. Jacobson, Thermodynamics of space-time: the Einstein equation of state, Phys. Rev. Lett. 75 (1995) 1260 [ gr-qc/9504004 ] [ INSPIRE ].
V.E. Hubeny, M. Rangamani and T. Takayanagi, A covariant holographic entanglement entropy proposal, JHEP 07 (2007) 062 [ arXiv:0705.0016 ] [ INSPIRE ].
V.E. Hubeny and M. Rangamani, Causal holographic information, JHEP 06 (2012) 114 [ arXiv:1204.1698 ] [ INSPIRE ].
A. Bhattacharyya, M. Sharma and A. Sinha, On generalized gravitational entropy, squashed cones and holography, JHEP 01 (2014) 021 [ arXiv:1308.5748 ] [ INSPIRE ].
X. Dong, Holographic entanglement entropy for general higher derivative gravity, JHEP 01 (2014) 044 [ arXiv:1310.5713 ] [ INSPIRE ].
J. Camps, Generalized entropy and higher derivative gravity, JHEP 03 (2014) 070 [ arXiv:1310.6659 ] [ INSPIRE ].
A. Bhattacharyya and M. Sharma, On entanglement entropy functionals in higher derivative gravity theories, arXiv:1405.3511 [ INSPIRE ].
V. Balasubramanian, B.D. Chowdhury, B. Czech, J. de Boer and M.P. Heller, A hole-ographic spacetime, Phys. Rev. D 89 (2014) 086004 [ arXiv:1310.4204 ] [ INSPIRE ].
R.C. Myers, J. Rao and S. Sugishita, Holographic holes in higher dimensions, JHEP 06 (2014) 044 [ arXiv:1403.3416 ] [ INSPIRE ].
B. Czech, X. Dong and J. Sully, Holographic reconstruction of general bulk surfaces, arXiv:1406.4889 [ INSPIRE ].
V. Balasubramanian, B.D. Chowdhury, B. Czech and J. de Boer, Entwinement and the emergence of spacetime, arXiv:1406.5859 [ INSPIRE ].
M. Gell-Mann and J. Hartle, Quasiclassical coarse graining and thermodynamic entropy, Phys. Rev. A 76 (2007) 022104 [ quant-ph/0609190 ] [ INSPIRE ].
V. Balasubramanian, P. Kraus and A.E. Lawrence, Bulk versus boundary dynamics in Anti-de Sitter space-time, Phys. Rev. D 59 (1999) 046003 [ hep-th/9805171 ] [ INSPIRE ].
V. Balasubramanian, P. Kraus, A.E. Lawrence and S.P. Trivedi, Holographic probes of Anti-de Sitter space-times, Phys. Rev. D 59 (1999) 104021 [ hep-th/9808017 ] [ INSPIRE ].
T. Banks, M.R. Douglas, G.T. Horowitz and E.J. Martinec, AdS dynamics from conformal field theory, hep-th/9808016 [ INSPIRE ].
I. Bena, On the construction of local fields in the bulk of AdS 5 and other spaces, Phys. Rev. D 62 (2000) 066007 [ hep-th/9905186 ] [ INSPIRE ].
A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Local bulk operators in AdS/CFT: a boundary view of horizons and locality, Phys. Rev. D 73 (2006) 086003 [ hep-th/0506118 ] [ INSPIRE ].
A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Holographic representation of local bulk operators, Phys. Rev. D 74 (2006) 066009 [ hep-th/0606141 ] [ INSPIRE ].
D. Kabat, G. Lifschytz and D.A. Lowe, Constructing local bulk observables in interacting AdS/CFT, Phys. Rev. D 83 (2011) 106009 [ arXiv:1102.2910 ] [ INSPIRE ].
I. Heemskerk, D. Marolf, J. Polchinski and J. Sully, Bulk and transhorizon measurements in AdS/CFT, JHEP 10 (2012) 165 [ arXiv:1201.3664 ] [ INSPIRE ].
I.A. Morrison, Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography, JHEP 05 (2014) 053 [ arXiv:1403.3426 ] [ INSPIRE ].
S. Gao and R.M. Wald, The ‘Physical process’ version of the first law and the generalized second law for charged and rotating black holes, Phys. Rev. D 64 (2001) 084020 [ gr-qc/0106071 ] [ INSPIRE ].
I. Papadimitriou and K. Skenderis, Thermodynamics of asymptotically locally AdS spacetimes, JHEP 08 (2005) 004 [ hep-th/0505190 ] [ INSPIRE ].
S. Hollands, A. Ishibashi and D. Marolf, Comparison between various notions of conserved charges in asymptotically AdS-spacetimes, Class. Quant. Grav. 22 (2005) 2881 [ hep-th/0503045 ] [ INSPIRE ].
S. Hollands, A. Ishibashi and D. Marolf, Counter-term charges generate bulk symmetries, Phys. Rev. D 72 (2005) 104025 [ hep-th/0503105 ] [ INSPIRE ].
M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 07 (1998) 023 [ hep-th/9806087 ] [ INSPIRE ].
V. Balasubramanian and P. Kraus, A stress tensor for Anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [ hep-th/9902121 ] [ INSPIRE ].
J.M. Maldacena, Eternal black holes in Anti-de Sitter, JHEP 04 (2003) 021 [ hep-th/0106112 ] [ INSPIRE ].
J.L. Friedman, K. Schleich and D.M. Witt, Topological censorship, Phys. Rev. Lett. 71 (1993) 1486 [Erratum ibid. 75 (1995) 1872] [ gr-qc/9305017 ] [ INSPIRE ].
K. Skenderis and B.C. van Rees, Holography and wormholes in 2+1 dimensions, Commun. Math. Phys. 301 (2011) 583 [ arXiv:0912.2090 ] [ INSPIRE ].
J. Louko and D. Marolf, Single exterior black holes and the AdS/CFT conjecture, Phys. Rev. D 59 (1999) 066002 [ hep-th/9808081 ] [ INSPIRE ].
J. Louko, Single exterior black holes, Lect. Notes Phys. 541 (2000) 188 [ gr-qc/9906031 ] [ INSPIRE ].
J. Louko, D. Marolf and S.F. Ross, On geodesic propagators and black hole holography, Phys. Rev. D 62 (2000) 044041 [ hep-th/0002111 ] [ INSPIRE ].
S.D. Mathur, Fuzzballs and the information paradox: a summary and conjectures, arXiv:0810.4525 [ INSPIRE ].
V. Balasubramanian, J. de Boer, S. El-Showk and I. Messamah, Black holes as effective geometries, Class. Quant. Grav. 25 (2008) 214004 [ arXiv:0811.0263 ] [ INSPIRE ].
B.D. Chowdhury and A. Virmani, Modave lectures on fuzzballs and emission from the D1-D5 system, arXiv:1001.1444 [ INSPIRE ].
A.C. Wall, Maximin surfaces and the strong subadditivity of the covariant holographic entanglement entropy, arXiv:1211.3494 [ INSPIRE ].