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Auteurs principaux: He, Yucheng, Lei, Changxiang, Chen, Deyou
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2410.05632
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author He, Yucheng
Lei, Changxiang
Chen, Deyou
author_facet He, Yucheng
Lei, Changxiang
Chen, Deyou
contents In this paper, we study the topological properties of five-dimensional rotating charged black holes in different ensembles.The topological numbers for the black holes are gotten in the grand canonical and canonical ensembles, which are 1. When the charge and cosmological constant disappear, their topological numbers are 0. When the pressure is lower than the critical pressure, the phase transition exists in the canonical ensemble. However, the phase transition also exists in the grand canonical ensemble when the pressure is higher than the critical pressure and two independent rotational parameters are $a=1$ and $b=-1$. This may be due to the fact that the values of the rotational parameters change the supersymmetry of the black hole and lead to the phase transition.
format Preprint
id arxiv_https___arxiv_org_abs_2410_05632
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Topological properties of black holes in five-dimensional gauged supergravity
He, Yucheng
Lei, Changxiang
Chen, Deyou
General Relativity and Quantum Cosmology
In this paper, we study the topological properties of five-dimensional rotating charged black holes in different ensembles.The topological numbers for the black holes are gotten in the grand canonical and canonical ensembles, which are 1. When the charge and cosmological constant disappear, their topological numbers are 0. When the pressure is lower than the critical pressure, the phase transition exists in the canonical ensemble. However, the phase transition also exists in the grand canonical ensemble when the pressure is higher than the critical pressure and two independent rotational parameters are $a=1$ and $b=-1$. This may be due to the fact that the values of the rotational parameters change the supersymmetry of the black hole and lead to the phase transition.
title Topological properties of black holes in five-dimensional gauged supergravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2410.05632