Built on

D. G. Boulware and S. Deser, “String Generated Gravity Models,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
A. B. Zamolodchikov, JETP Lett. 43
1986
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black hole entropy and higher curvature interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D48
1993
Earlier work this paper cites.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole Phys. Rev. D 50
1994
Earlier work this paper cites.
T. Jacobson, G. Kang, R. C. Myers, “Increase of black hole entropy in higher curvature gravity,” Phys. Rev. D52
1995
Earlier work this paper cites.
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, “Novel local CFT and exact results on perturbations of N=4 superYang Mills from AdS dynamics,” JHEP 9812
1999
Earlier work this paper cites.
V. Sahakian, “Holography, a covariant c function, and the geometry of the renormalization group,” Phys. Rev. D 62
2000
Earlier work this paper cites.
R. G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
2002
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
Original
2007
Earlier work this paper cites.
D. Cremades and E. Lozano-Tellechea, “Holography, the second law and a C-function in higher curvature gravity,” JHEP 0701
2007
Earlier work this paper cites.
S. Kar and S. SenGupta, “The Raychaudhuri equations: A Brief review,” Pramana 69
2007
Earlier work this paper cites.
E. Poisson,“ A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics ”, Cambridge University Press; 1 edition (5 November 2007)
2007
Earlier work this paper cites.

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Then

M. Alishahiha, A. F. Astaneh and M. R. M. Mozaffar, “Entanglement Entropy for Logarithmic Conformal Field Theory,” Phys. Rev. D 89
Original
2012
Later among the works it cites.
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Original
2012
Later among the works it cites.
A. Lewkowycz and J. Maldacena, “Generalized gravitational entropy,” JHEP 1308
Original
2013
Later among the works it cites.
D. V. Fursaev, A. Patrushev and S. N. Solodukhin, “Distributional Geometry of Squashed Cones,” Phys. Rev. D 88
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S. Sarkar and A. C. Wall, “Generalized second law at linear order for actions that are functions of Lovelock densities,” Phys. Rev. D 88

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2015

Entropy functionals and c-theorems from the second law

Bhattacharjee, Srijit, Bhattacharyya, Arpan, Sarkar, Sudipta et al.

Understand

We show that for a general four derivative theory of gravity, only the holographic entanglement entropy functionals obey the second law at linearized order in perturbations.

We also derive bounds on the higher curvature couplings in several examples, demanding the validity of the second law for higher order perturbations.
For the five dimensional Gauss-Bonnet theory in the context of AdS/CFT, the bound arising from black branes coincides with there being no sound channel instability close to the horizon.
Repeating the analysis for topological black holes, the bound coincides with the tensor channel causality constraint (which is responsible for the viscosity bound).

Built on

D. G. Boulware and S. Deser, “String Generated Gravity Models,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
A. B. Zamolodchikov, JETP Lett. 43
1986
Earlier work this paper cites.
T. Jacobson and R. C. Myers, “Black hole entropy and higher curvature interactions,” Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D48
1993
Earlier work this paper cites.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole Phys. Rev. D 50
1994
Earlier work this paper cites.
T. Jacobson, G. Kang, R. C. Myers, “Increase of black hole entropy in higher curvature gravity,” Phys. Rev. D52
1995
Earlier work this paper cites.
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, “Novel local CFT and exact results on perturbations of N=4 superYang Mills from AdS dynamics,” JHEP 9812
1999
Earlier work this paper cites.
V. Sahakian, “Holography, a covariant c function, and the geometry of the renormalization group,” Phys. Rev. D 62
2000
Earlier work this paper cites.
R. G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
2002
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
Original
2007
Earlier work this paper cites.
D. Cremades and E. Lozano-Tellechea, “Holography, the second law and a C-function in higher curvature gravity,” JHEP 0701
2007
Earlier work this paper cites.
S. Kar and S. SenGupta, “The Raychaudhuri equations: A Brief review,” Pramana 69
2007
Earlier work this paper cites.
E. Poisson,“ A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics ”, Cambridge University Press; 1 edition (5 November 2007)
2007
Earlier work this paper cites.