Built on

S.W. Hawking, “Gravitational radiation from colliding black holes”, Phys. Rev. Lett. 26
1971
Earlier work this paper cites.
J.D. Bekenstein, “Black holes and entropy”, Phys. Rev. D 7
1973
Earlier work this paper cites.
S.W. Hawking, “Particle creation by black holes”, Commun. Math. Phys. 43
1975
Earlier work this paper cites.
R.M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D48
1993
Earlier work this paper cites.
T. Jacobson, R.C. Myers, “Entropy of Lovelock Black Holes”, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
V. Iyer and R.M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D50
1994
Earlier work this paper cites.
T. Jacobson, G. Kang and R.C. Myers, “On black hole entropy,” Phys. Rev. D49
1994
Earlier work this paper cites.

Similar

T. Jacobson, G. Kang and R.C. Myers, “Increase of Black Hole Entropy in Higher Curvature Gravity”, Phys. Rev. D52
1995
Cited alongside, same era.
S. Gao, R.M. Wald, “The ‘physical process’ version of the first law and the generalized second law for charged and rotating black holes”, Phys.Rev. D64
2001
Cited alongside, same era.
S. N. Solodukhin, “Entanglement entropy, conformal invariance and extrinsic geometry”, Phys. Lett. B665
Original
2008
Cited alongside, same era.
T. Liko, “Topological deformation of isolated horizons”, Phys. Rev. D77
Original
2008
Cited alongside, same era.
S. Sarkar and A.C. Wall, “Second Law Violations in Lovelock Gravity for Black Hole Mergers,” Phys. Rev. D83
Original
2011

Then

D. V. Fursaev, A. Patrushev and S. N. Solodukhin, “Distributional Geometry of Squashed Cones”, Phys. Rev. D88
Original
2013
Later among the works it cites.
A. Bhattacharyya, A. Kaviraj and A. Sinha, “Entanglement entropy in higher derivative holography”, JHEP 1308
Original
2013
Later among the works it cites.
X. Dong, “Holographic Entanglement Entropy for General Higher Derivative Gravity”, JHEP 1401:044, 2014, arXiv:1310.5713
Original
2014
Later among the works it cites.
J. Camps, “Generalized entropy and higher derivative Gravity,” JHEP 1403
Original
2014
Later among the works it cites.
A. Bhattacharyya, M. Sharma and A. Sinha, “On generalized gravitational entropy, squashed cones and holography”, JHEP 1401

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2015

A Second Law for Higher Curvature Gravity

Wall, Aron C.

Understand

The Second Law of black hole thermodynamics is shown to hold for arbitrarily complicated theories of higher curvature gravity, so long as we allow only linearized perturbations to stationary black holes.

Some ambiguities in Wald's Noether charge method are resolved.
The increasing quantity turns out to be the same as the holographic entanglement entropy calculated by Dong.
It is suggested that only the linearization of the higher-curvature Second Law is important, when consistently truncating a UV-complete quantum gravity theory.

Built on

S.W. Hawking, “Gravitational radiation from colliding black holes”, Phys. Rev. Lett. 26
1971
Earlier work this paper cites.
J.D. Bekenstein, “Black holes and entropy”, Phys. Rev. D 7
1973
Earlier work this paper cites.
S.W. Hawking, “Particle creation by black holes”, Commun. Math. Phys. 43
1975
Earlier work this paper cites.
R.M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D48
1993
Earlier work this paper cites.
T. Jacobson, R.C. Myers, “Entropy of Lovelock Black Holes”, Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
V. Iyer and R.M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D50
1994
Earlier work this paper cites.
T. Jacobson, G. Kang and R.C. Myers, “On black hole entropy,” Phys. Rev. D49
1994
Earlier work this paper cites.