PreprintCC BY 4.0arXiv
A Quasi-local Entropy for Black Hole Space-times
Abstract
We show that for static & spherically symmetric black hole geometries, the angular components of the Brown-York tensor on a finite radius boundary can be interpreted as the product of the Tolman-Ehrenfest temperature and a quasi-local entropy. This entropy vanishes at spatial infinity and monotonically increases as radius decreases, taking its maximum value on the horizon where it is equal to the Bekenstein-Hawking entropy. Thus, the behaviour of this entropy provides explicit verification of the covariant entropy conjecture.
Related
- Entropy Quantization and Quasi-normal Modes of Dyonic Kerr-Sen Black Holes
- Entropy quantization and quasi-normal modes of dyonic Kerr-Sen black holes
- Obstruction to local entropy laws on arbitrary black-hole cuts in five-dimensional Einstein--Gauss--Bonnet gravity
- Black Hole Entropy Beyond the Wald Term in Nonminimally Coupled Gravity: A Covariant Phase Space Decomposition
- A method for calculating entropy production without knowing transition rates or dwell times
BibTeX
@misc{isichei2026quasilocal,
title = {{A Quasi-local Entropy for Black Hole Space-times}},
author = {Raymond Isichei},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28755},
eprint = {2608.28755},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28755},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Quasi-local Entropy for Black Hole Space-times
AU - Raymond Isichei
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28755
UR - https://arxiv.org/abs/2608.28755
AB - We show that for static & spherically symmetric black hole geometries, the angular components of the Brown-York tensor on a finite radius boundary can be interpreted as the product of the Tolman-Ehrenfest temperature and a quasi-local entropy. This entropy vanishes at spatial infinity and monotonically increases as radius decreases, taking its maximum value on the horizon where it is equal to the Bekenstein-Hawking entropy. Thus, the behaviour of this entropy provides explicit verification of the covariant entropy conjecture.
ER -