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In this paper, we investigate the topological numbers of rotating charged AdS black holes in both four- and five-dimensional gauged supergravity theories. Our analysis is conducted within the framework of the thermodynamical topological…

High Energy Physics - Theory · Physics 2024-08-06 Xiao-Dan Zhu , Di Wu , Dan Wen

By employing Duan's topological method, we classify critical points by their topological charge Q = +/-1 or 0. Previous work (Wei et al., Phys. Rev. D 105, 104003, 2022) investigated two typical anti-de Sitter (AdS) black holes: the…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Yue Chu , Chen-Hao Wu , Ya-Peng Hu

We examine the thermodynamics of a new class of asymptotically AdS black holes with non-constant curvature event horizons in Gauss-Bonnet Lovelock gravity, with the cosmological constant acting as thermodynamic pressure. We find that…

General Relativity and Quantum Cosmology · Physics 2022-07-08 Brayden R. Hull , Robert B. Mann

In this work, employing the generalized off-shell free energy, we treat black hole solutions as defects in the thermodynamic parameter space. The results show that the positive and negative winding numbers corresponding to the defects…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Shao-Wen Wei , Yu-Xiao Liu , Robert B. Mann

Regular black holes, which avoid the essential center singularities, can be constructed through various methods, including nonlinear electrodynamics and quantum corrections. Recently, it was shown that via an infinite tower of…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Sheng-Wei Wang , Shan-Ping Wu , Shao-Wen Wei

We perform a topological classification of the phase structure of a four-dimensional AdS black hole with non-minimal Maxwell coupling. Critical points are treated as topological defects, allowing us to assign a winding number to each black…

High Energy Physics - Theory · Physics 2026-05-25 Faramarz Rahmani , Mehdi Sadeghi

Black hole thermodynamics and topology have emerged as a strong foundation for a coordinate-independent understanding of phase transitions. Using both Duan's topological current theory and a novel complex residue method, we perform a…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Mohd Rehan , Md Sabir Ali , Sushant G. Ghosh

We investigate the thermodynamic phase transitions of a four-dimensional charged anti-de Sitter black hole endowed with a non-minimal coupling of the form $F^{\alpha\beta}F^{\gamma\lambda}R_{\alpha\gamma\beta\lambda}$. Using perturbative…

High Energy Physics - Theory · Physics 2026-05-29 Mehdi Sadeghi , Faramarz Rahmani

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found the following novel results. (i) Contrary to the charged AdS black hole,…

High Energy Physics - Theory · Physics 2021-12-02 Amin Dehyadegari , Ahmad Sheykhi

We establish a universal thermodynamic topological classification for three-dimensional static neutral Ba\~{n}ados-Teitelboim-Zanelli (BTZ), charged BTZ, and rotating BTZ black holes. We demonstrate that in all three cases (static neutral…

High Energy Physics - Theory · Physics 2025-04-22 Ying Chen , Xiao-Dan Zhu , Di Wu

We obtain an exact solution of $AdS$ black hole solution in Einstein-Gauss-Bonnet (EGB) gravity coupled with nonlinear electrodynamics. It interpolates with the $AdS$ regular black hole and $AdS$ EGB black hole in the absence of the…

General Relativity and Quantum Cosmology · Physics 2022-08-30 Dharm Veer Singh , Vinod Kumar Bhardwaj , Sudhaker Upadhyay

In AdS space the black hole horizon can be a hypersurface with a positive, zero or negative constant curvature, resulting in different horizon topology. Thermodynamics and stability of black holes in AdS spaces are quite different for…

High Energy Physics - Theory · Physics 2009-07-07 Rong-Gen Cai , Anzhong Wang

We investigate the thermodynamic behavior of the Hayward-AdS black hole and compare it with its singular counterpart from which it can be constructed through the imposition of an additional constraint. The singular black hole displays a…

High Energy Physics - Theory · Physics 2026-02-13 Qi-Hang Xia , Hui-Hua Zhao , Meng-Sen Ma

The main objective of this paper is to study thermodynamics and stability of static electrically charged Born-Infeld black holes in AdS space in D=4. The Euclidean action for the grand canonical ensemble is computed with the appropriate…

High Energy Physics - Theory · Physics 2012-06-20 Sharmanthie Fernando

In this paper, $n$-dimensional ($n=4p, p$ is a positive integer) $f(R)$-AdS black holes is divided into Schwazschild-AdS (SAdS) like ones and Reissner-Nordstr\"{o}m-AdS (RN-AdS) like ones. Thermodynamical stability of them in grand…

General Relativity and Quantum Cosmology · Physics 2019-01-07 Ming Zhang

We construct a new class of asymptotically (a)dS black hole solutions of Einstein-Yang-Mills massive gravity in the presence of Born-Infeld nonlinear electrodynamics. The obtained solutions possess a Coulomb electric charge, massive term…

General Relativity and Quantum Cosmology · Physics 2022-08-09 Seyed Hossein Hendi , Mehrab Momennia

The thermodynamics of charged topological black holes (TBHs) with different horizon geometries in $d$-dimensional Einstein-Maxwell and 4-dimensional conformal gravities is revisited using the restricted phase space formalism. The concept of…

High Energy Physics - Theory · Physics 2023-09-27 Tao Wang , Zhiqiang Zhang , Xiangqing Kong , Liu Zhao

Thermodynamics of black holes in anti de Sitter (AdS) spacetimes typically contains critical points in the phase diagram, some of which correspond to the first order transition ending in a second order one. Following the recent proposal in…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Pavan Kumar Yerra , Chandrasekhar Bhamidipati

Investigating black holes in modified theories of gravity offers fertile ground for exploring phenomena beyond the scope of general relativity. We investigate a novel class of charged anti-de Sitter (AdS) black holes within the ghost-free…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Mohd Rehan , Arun Kumar , Tuan Q. Do , Sushant G. Ghosh

In this paper, the new formalism of thermodynamic geometry proposed in [1] is employed in investigating phase transition points and the critical behavior of a Gauss Bonnet-AdS black hole in four dimensional spacetime. In this regard,…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Seyed Ali Hosseini Mansoori