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We construct a proof of the second law of thermodynamics in an arbitrary diffeomorphism invariant theory of gravity working within the approximation of linearized dynamical fluctuations around stationary black holes.
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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. D64
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T. Liko, Topological deformation of isolated horizons , Phys. Rev. D77
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2012
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A. Saha, General Theory of Large D Membranes Consistent with Second Law of Thermodynamics , JHEP 04
2012
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2013
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2014
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S. Bhattacharyya, Entropy current and equilibrium partition function in fluid dynamics , JHEP 08
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2008
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S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time , Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2, 2011, 10.1017/CBO9780511524646
2011
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2011
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2012
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2012
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2012
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2012
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2012
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2014
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S. Bhattacharyya, Entropy Current from Partition Function: One Example , JHEP 07
2014
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2015
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A. C. Wall, A Second Law for Higher Curvature Gravity , Int. J. Mod. Phys. D24
2015
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2015
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2018
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