Thermodynamics of Einstein-Geometric Proca AdS compact objects

Fuente: arXiv
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Auteurs principaux: Alimova, Asalkhon, Ghorani, Elham, Puliçe, Beyhan, Atamurotov, Farruh, Abdujabbarov, Ahmadjon
Format: Preprint
Publié: 2025
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author Alimova, Asalkhon
Ghorani, Elham
Puliçe, Beyhan
Atamurotov, Farruh
Abdujabbarov, Ahmadjon
author_facet Alimova, Asalkhon
Ghorani, Elham
Puliçe, Beyhan
Atamurotov, Farruh
Abdujabbarov, Ahmadjon
contents In this study we explore metric-Palatini gravity extended by the antisymmetric component of the affine curvature. This gravitational theory results in general relativity plus a geometric Proca field. Building on our previous work, where we constructed its static spherically symmetric solutions in the Anti-de Sitter (AdS) background (Eur. Phys. J. C 83(4):318, 2023), we conduct a comprehensive analysis of the system's thermodynamics. We examine the thermodynamic properties of the Einstein-Geometric Proca AdS compact objects, focusing on the Hawking temperature, enthalpy, heat capacity, entropy, and Gibbs free energy. Particular attention is given to the dependence of the Hawking temperature, enthalpy, and heat capacity on the uniform potential $q_{1}$ and the electromagnetic-type charge $q_{2}$. Through numerical analysis we compute the entropy and Gibbs free energy and investigate how these quantities vary with the model parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2509_09389
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Thermodynamics of Einstein-Geometric Proca AdS compact objects
Alimova, Asalkhon
Ghorani, Elham
Puliçe, Beyhan
Atamurotov, Farruh
Abdujabbarov, Ahmadjon
General Relativity and Quantum Cosmology
In this study we explore metric-Palatini gravity extended by the antisymmetric component of the affine curvature. This gravitational theory results in general relativity plus a geometric Proca field. Building on our previous work, where we constructed its static spherically symmetric solutions in the Anti-de Sitter (AdS) background (Eur. Phys. J. C 83(4):318, 2023), we conduct a comprehensive analysis of the system's thermodynamics. We examine the thermodynamic properties of the Einstein-Geometric Proca AdS compact objects, focusing on the Hawking temperature, enthalpy, heat capacity, entropy, and Gibbs free energy. Particular attention is given to the dependence of the Hawking temperature, enthalpy, and heat capacity on the uniform potential $q_{1}$ and the electromagnetic-type charge $q_{2}$. Through numerical analysis we compute the entropy and Gibbs free energy and investigate how these quantities vary with the model parameters.
title Thermodynamics of Einstein-Geometric Proca AdS compact objects
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.09389