Equivalence of Variations of Statistical and Wald's Entropies

Details Equivalence of Variations of Statistical and Wald's Entropies Equivalence of Variations of Statistical and Wald's Entropies

2010-06-16

arxiv.org/abs/1006.3161v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Problems with previous mathematical derivations have been corrected so that the argument is now clearer and simpler, leading t

Scientific paper

We calculate the variation of the statistical entropy of a black hole with a bifurcate Killing horizon in generalized theories of gravity due to variation of the metric and identification of the energy momentum tensor. Using the classical generalized gravity equations, we find that this exactly equals the variation of Wald's entropy. Since this is proved for any generalized theory of gravity, it indicates that the two entropies have a natural connection and that they may have the same physical origin.

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