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Main Authors: Kong, Shi-Bei, Wang, Yu-Ke, Zhu, Zhen-Bin
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.00407
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author Kong, Shi-Bei
Wang, Yu-Ke
Zhu, Zhen-Bin
author_facet Kong, Shi-Bei
Wang, Yu-Ke
Zhu, Zhen-Bin
contents In this paper, we study the temperature of the McVittie black holes in cavities. The cavities are isothermal boxes that can make the McVittie black holes thermodynamically stable. The McVittie black holes are dynamical black holes, so the traditional action method can hardly be used to calculate the cavity temperature. We find that the cavity temperature $T_c$ can be derived from the McVittie black hole temperature $T_+$ and the Tolman relation. By setting $H^2$ to be $Λ/3$, we also get the cavity temperature of de Sitter black holes, which are interestingly the same with the results from the action method, but our method is much more easier.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00407
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Temperature of McVittie Black Holes in Cavities
Kong, Shi-Bei
Wang, Yu-Ke
Zhu, Zhen-Bin
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this paper, we study the temperature of the McVittie black holes in cavities. The cavities are isothermal boxes that can make the McVittie black holes thermodynamically stable. The McVittie black holes are dynamical black holes, so the traditional action method can hardly be used to calculate the cavity temperature. We find that the cavity temperature $T_c$ can be derived from the McVittie black hole temperature $T_+$ and the Tolman relation. By setting $H^2$ to be $Λ/3$, we also get the cavity temperature of de Sitter black holes, which are interestingly the same with the results from the action method, but our method is much more easier.
title Temperature of McVittie Black Holes in Cavities
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2509.00407