The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy

Fuente: arXiv
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Autores principales: Sekhmani, Yassine, Hazarika, Bidyut, Phukon, P., Landry, Alexandre, Maurya, Sunil K., Rayimbaev, J.
Formato: Preprint
Publicado: 2024
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author Sekhmani, Yassine
Hazarika, Bidyut
Phukon, P.
Landry, Alexandre
Maurya, Sunil K.
Rayimbaev, J.
author_facet Sekhmani, Yassine
Hazarika, Bidyut
Phukon, P.
Landry, Alexandre
Maurya, Sunil K.
Rayimbaev, J.
contents This paper mainly aims to solve the Anti deSitter Black Holes (AdS BH) under the Barrow entropy under polytropic gas fluid, especially the Chaplygin Gas. First, we develop this last polytropic model in detail to then obtain the possible solutions and thermodynamic conditions on the Energy-Momentum and the Barrow Entropy for spacetimes of spatial dimension $D>3$. Then, we focus on thermidynamic solutions and the different impacts on the Barrow entropy of the black hole, the temperature profile, the mass and the various physical quantities involved. Afterwards, we focus on the specific cases of the solutions of dimensions $D=4$ and $5$ in order to concretely test the models, especially from the point of view of the thermodynamic topology. Finally, we generalize everything by elaborating and testing the stability of the models to arrive at the thermal geometry of the AdS BH.
format Preprint
id arxiv_https___arxiv_org_abs_2410_18247
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
Sekhmani, Yassine
Hazarika, Bidyut
Phukon, P.
Landry, Alexandre
Maurya, Sunil K.
Rayimbaev, J.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
This paper mainly aims to solve the Anti deSitter Black Holes (AdS BH) under the Barrow entropy under polytropic gas fluid, especially the Chaplygin Gas. First, we develop this last polytropic model in detail to then obtain the possible solutions and thermodynamic conditions on the Energy-Momentum and the Barrow Entropy for spacetimes of spatial dimension $D>3$. Then, we focus on thermidynamic solutions and the different impacts on the Barrow entropy of the black hole, the temperature profile, the mass and the various physical quantities involved. Afterwards, we focus on the specific cases of the solutions of dimensions $D=4$ and $5$ in order to concretely test the models, especially from the point of view of the thermodynamic topology. Finally, we generalize everything by elaborating and testing the stability of the models to arrive at the thermal geometry of the AdS BH.
title The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.18247