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Main Authors: Li, Xiang-Qian, Chen, Bo, Xing, Li-Li
Format: Preprint
Published: 2019
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Online Access:https://arxiv.org/abs/1908.09827
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author Li, Xiang-Qian
Chen, Bo
Xing, Li-Li
author_facet Li, Xiang-Qian
Chen, Bo
Xing, Li-Li
contents Supposing the existence of modified Chaplygin gas with the equation of state $p=Aρ-B/ρ^β$ as a cosmic background, we obtain a static spherically-symmetric solution to the Einstein-Gauss-Bonnet gravitational equations in 5D spacetime. The spacetime structure of the obtained black hole solution could be asymptotically anti-de Sitter or de Sitter, according to the specific values of modified Chaplygin gas parameters versus the cosmological constant. We analyze the parametric regions for both kinds of solutions. For asymptotically anti-de Sitter black hole, there exists the so-called small/large black hole phase transition, we obtain critical values of pressure, volume, and temperature and investigate the effects of both the Gauss-Bonnet gravity and the modified Chaplygin gas on these values. For asymptotically de Sitter black hole, no $P-r_h$ criticality and phase transition appear, and we show that the thermodynamic systems related to various horizons of asymptotically de Sitter black hole are in fact entangled.
format Preprint
id arxiv_https___arxiv_org_abs_1908_09827
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Black holes in Einstein-Gauss-Bonnet gravity with a background of modified Chaplygin gas
Li, Xiang-Qian
Chen, Bo
Xing, Li-Li
General Relativity and Quantum Cosmology
Supposing the existence of modified Chaplygin gas with the equation of state $p=Aρ-B/ρ^β$ as a cosmic background, we obtain a static spherically-symmetric solution to the Einstein-Gauss-Bonnet gravitational equations in 5D spacetime. The spacetime structure of the obtained black hole solution could be asymptotically anti-de Sitter or de Sitter, according to the specific values of modified Chaplygin gas parameters versus the cosmological constant. We analyze the parametric regions for both kinds of solutions. For asymptotically anti-de Sitter black hole, there exists the so-called small/large black hole phase transition, we obtain critical values of pressure, volume, and temperature and investigate the effects of both the Gauss-Bonnet gravity and the modified Chaplygin gas on these values. For asymptotically de Sitter black hole, no $P-r_h$ criticality and phase transition appear, and we show that the thermodynamic systems related to various horizons of asymptotically de Sitter black hole are in fact entangled.
title Black holes in Einstein-Gauss-Bonnet gravity with a background of modified Chaplygin gas
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/1908.09827