https://doi.org/10.1140/epjc/s10052-025-14637-5
Regular Article - Theoretical Physics
Thermodynamics of Einstein-Geometric Proca AdS compact objects
1
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
2
National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
3
Faculty of Engineering and Natural Sciences, Sabancı University, 34956, Tuzla, Istanbul, Turkey
4
Astrophysics Research Center, The Open University of Israel, 4353701, Raanana, Israel
5
Kimyo International University in Tashkent, Shota Rustaveli Str. 156, 100121, Tashkent, Uzbekistan
6
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
7
Khazar University, Research Center of Astrophysics and Cosmology, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
8
New Uzbekistan University, Movarounnahr Street 1, 100000, Tashkent, Uzbekistan
9
School of Physics, Harbin Institute of Technology, 150001, Harbin, People’s Republic of China
a
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Received:
12
May
2025
Accepted:
10
August
2025
Published online:
9
September
2025
Abstract
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 
and the electromagnetic-type charge 
. Through numerical analysis, we compute the entropy and Gibbs free energy and investigate how these quantities vary with the model parameters.
© The Author(s) 2025
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Funded by SCOAP3.
