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Generalized entropy in higher curvature gravity and entropy of algebra of observables

2023/09/29 by Mohd Ali, Vardarajan Suneeta · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.1103/physrevd.108.066017

Abstract

Recently, Chandrasekaran, Penington, and Witten (CPW) have shown that the generalized entropy of the Schwarzschild black hole at the bifurcation surface equals the entropy of an extended von Neumann algebra of quantum observables in the black hole exterior, in semiclassical Einstein gravity. They also derive a version of the generalized second law. We generalize these results to a static black hole in an arbitrary diffeomorphism invariant theory of gravity. Thus, a version of the generalized second law for an arbitrary diffeomorphism invariant theory of gravity follows.

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