Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent

Fuente: arXiv
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Autori principali: Du, Yun-Zhi, Li, Huai-Fan, Ma, Yu-Bo, Gu, Qiang
Natura: Preprint
Pubblicazione: 2024
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author Du, Yun-Zhi
Li, Huai-Fan
Ma, Yu-Bo
Gu, Qiang
author_facet Du, Yun-Zhi
Li, Huai-Fan
Ma, Yu-Bo
Gu, Qiang
contents Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb-Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the exactly static and spherically symmetric black holes solutions related with the Lorentz violating parameter. Based on this, we consider the corresponding black hole solution in the de-Sitter (dS) spacetime with the KR field and investigate the thermodynamic properties in the expanded phase space through introducing the interplay entropy between the black hole and cosmological horizons. Especially we analyze the effect of the Lorentz-violating parameter on the thermodynamic properties. Furthermore, the Lyapunov exponent and the shadow of these static and spherically symmetric black holes in this Lorentz-violating gravity theory are also investigated. These study will open a new perspective to probe the thermodynamics of black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2403_20083
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent
Du, Yun-Zhi
Li, Huai-Fan
Ma, Yu-Bo
Gu, Qiang
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb-Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the exactly static and spherically symmetric black holes solutions related with the Lorentz violating parameter. Based on this, we consider the corresponding black hole solution in the de-Sitter (dS) spacetime with the KR field and investigate the thermodynamic properties in the expanded phase space through introducing the interplay entropy between the black hole and cosmological horizons. Especially we analyze the effect of the Lorentz-violating parameter on the thermodynamic properties. Furthermore, the Lyapunov exponent and the shadow of these static and spherically symmetric black holes in this Lorentz-violating gravity theory are also investigated. These study will open a new perspective to probe the thermodynamics of black holes.
title Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2403.20083