Equivalence of Variations of Statistical and Wald's Entropies
Year: 2010
Type: preprint
Abstract: 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 matter Lagrangian. 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.
Source: arXiv (Cornell University)
Authors: Merav Hadad, Judy Kupferman
Institutions: Open University of Israel, Ben-Gurion University of the Negev
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1702115988