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A critical point is an important structure in the phase diagram of a thermodynamic system. In this work, we introduce topology to the study of the black hole thermodynamics for the first time by following Duan's topological current…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Shao-Wen Wei , Yu-Xiao Liu

One of the new methods that can be used to study the thermodynamics critical points of a system based on a topological approach is the study of topological charges using Duan's $\phi$-mapping method. In this article, we will attempt to use…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Mohammad Reza Alipour , Mohammad Ali S. Afshar , Saeed Noori Gashti , Jafar Sadeghi

In this work, we investigate the thermodynamic properties of black holes (BHs) that have non-trivial topological features in their phase diagrams. We consider three different models of BHs: (1) a class of BHs in dRGT massive gravity, which…

High Energy Physics - Theory · Physics 2024-09-10 Aqsa Mehmood , M. Umair Shahzad

Thermodynamical topology has emerged as a powerful framework for classifying the thermodynamical behavior of black holes. Three distinct yet complementary topological invariants have been employed to characterize black hole phases, spinodal…

High Energy Physics - Theory · Physics 2025-08-05 Shan-Ping Wu , Si-Jiang Yang , Shao-Wen Wei

Recent explorations of topological aspects in black hole thermodynamics have achieved unprecedented progress. By utilizing topological numbers, different black hole systems can be categorized into distinct universality classes. This…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Shao-Wen Wei , Yu-Xiao Liu

The aim of this paper is to explore the thermodynamic topology of topological charged dilatonic black holes. To achieve this, our study will begin by examining the characteristics of topological charged black holes in dilaton gravity.…

High Energy Physics - Theory · Physics 2024-11-26 Bidyut Hazarika , B. Eslam Panah , Prabwal Phukon

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

In this paper, we study thermodynamic geometry for pure Lovelock black holes. The thermodynamics scalar curvature contains information about the interaction of microstates that might be repulsive or attractive. We obtain critical exponents…

High Energy Physics - Theory · Physics 2022-11-15 Mohammadreza Ebrahimi Khuzani , Behrouz Mirza , Mahnaz Tavakoli Kachi

In this work, we attempt to explore a possible connection between thermodynamic topology and the thermodynamic geometry formulation of black hole thermodynamics. We study the topological structure of black hole thermodynamic phase spaces by…

High Energy Physics - Theory · Physics 2025-07-22 Bidyut Hazarika , Prabwal Phukon

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 thorough study of the thermodynamic properties of a class of Lovelock black holes with conformal scalar hair arising from coupling of a real scalar field to the dimensionally extended Euler densities. We study the linearized…

High Energy Physics - Theory · Physics 2017-02-22 Robie A. Hennigar , Erickson Tjoa , Robert B. Mann

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

Lovelock theory provides a tractable model of higher-curvature gravity in which several questions can be studied analytically. This is the reason why, in the last years, this theory has become the favorite arena to study the effects of…

High Energy Physics - Theory · Physics 2016-07-20 Mariano Chernicoff , Mario Galante , Gaston Giribet , Andres Goya , Matias Leoni , Julio Oliva , Guillem Perez-Nadal

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 investigate the thermodynamic behavior of maximally symmetric charged, asymptotically AdS black hole solutions of Lovelock gravity. We explore the thermodynamic stability of such solutions by the ordinary method of calculating the…

General Relativity and Quantum Cosmology · Physics 2015-10-19 Prasobh C. B. , Jishnu Suresh , V. C. Kuriakose

The classification of critical points of charged topological black holes (TBHs) in anti-de Sitter spacetime (AdS) under the Power Maxwell Invariant (PMI)-massive gravity is accomplished within the framework of black hole chemistry (BHC).…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Meng-Yao Zhang , Hao Chen , Hassan Hassanabadi , Zheng-Wen Long , Hui Yang

Dyonic black holes with quasitopological electromagnetism exhibit an intriguing phase diagram with two separated first-order coexistence curves. In this paper, we aim to uncover its influence on the black hole thermodynamical topology. At…

High Energy Physics - Theory · Physics 2024-05-14 Zi-Qing Chen , Shao-Wen Wei

We represent a new approach to exploring the thermodynamic topology of black holes, without introducing the nonphysical variable $\Theta\in[0,\pi]$ considered in previous studies, where black holes can exchange both energy and matter with…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Cao H. Nam

We review some of the results obtained by introducing a thermodynamic pressure via the cosmological constant in a class of higher curvature theories known as Lovelock gravity. In particular, we focus on a specific relation between the…

High Energy Physics - Theory · Physics 2016-11-14 Antonia M. Frassino , Robert B. Mann , Fil Simovic

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
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