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

Mohd Ali (The Indian Institute of Science Education and Research (IISER), Pune, India—411008) ; Vardarajan Suneeta (The Indian Institute of Science Education and Research (IISER), Pune, India—411008)

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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      "value": "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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Published on:
29 September 2023
Publisher:
APS
Published in:
Physical Review D , Volume 108 (2023)
Issue 6
DOI:
https://doi.org/10.1103/PhysRevD.108.066017
arXiv:
2307.00241
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: