Electrically charged black holes in gravity with a background Kalb-Ramond field

Fuente: arXiv
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Autores principales: Duan, Zheng-Qiao, Zhao, Ju-Ying, Yang, Ke
Formato: Preprint
Publicado: 2023
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author Duan, Zheng-Qiao
Zhao, Ju-Ying
Yang, Ke
author_facet Duan, Zheng-Qiao
Zhao, Ju-Ying
Yang, Ke
contents We derive the exact solutions for electrically charged black holes both in the absence and presence of a cosmological constant in the gravitational theory with Lorentz violation induced by a background Kalb-Ramond (KR) field. The corresponding thermodynamic properties are investigated. It is found that the standard first law of thermodynamics and the Smarr formula remain valid for the charged KR black holes. Nevertheless, the Lorentz-violating effect influences their ranges of local thermodynamic stability and the first- and second-order phase transition points. Furthermore, to examine the impact of Lorentz violation on the motion of test particles in the spacetime, we analyze the shadow and the innermost stable circular orbit (ISCO) of these black holes. Our results reveal that both the shadow and ISCO radii exhibit a high sensitivity to the Lorentz-violating parameter $\ell$, with a decrease observed as $\ell$ increases.
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id arxiv_https___arxiv_org_abs_2310_13555
institution arXiv
publishDate 2023
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spellingShingle Electrically charged black holes in gravity with a background Kalb-Ramond field
Duan, Zheng-Qiao
Zhao, Ju-Ying
Yang, Ke
General Relativity and Quantum Cosmology
We derive the exact solutions for electrically charged black holes both in the absence and presence of a cosmological constant in the gravitational theory with Lorentz violation induced by a background Kalb-Ramond (KR) field. The corresponding thermodynamic properties are investigated. It is found that the standard first law of thermodynamics and the Smarr formula remain valid for the charged KR black holes. Nevertheless, the Lorentz-violating effect influences their ranges of local thermodynamic stability and the first- and second-order phase transition points. Furthermore, to examine the impact of Lorentz violation on the motion of test particles in the spacetime, we analyze the shadow and the innermost stable circular orbit (ISCO) of these black holes. Our results reveal that both the shadow and ISCO radii exhibit a high sensitivity to the Lorentz-violating parameter $\ell$, with a decrease observed as $\ell$ increases.
title Electrically charged black holes in gravity with a background Kalb-Ramond field
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2310.13555