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In this paper, we use the generalized off-shell Helmholtz free energy method to explore the thermodynamic properties of Bardeen black holes (BD BHs) from a topological perspective based on Duan's topological current $\phi$-mapping. We…

High Energy Physics - Theory · Physics 2023-06-26 Jafar Sadeghi , Saeed Noori Gashti , Mohammad Reza Alipour , Mohammad Ali S. Afshar

In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing the spinodal curve, thermodynamic critical points of a black hole are endowed with a topological quantity, Brouwer…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Ning-Chen Bai , Lei Li , Jun Tao

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

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

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

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

A version of massive gravity, namely conformal massive gravity, is employed to study the behavior of thermodynamic geometry for both the static and the rotating regular black holes. Whereas in thermodynamic geometry singularity can be…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Saheb Soroushfar , Reza Saffari , Amare Abebe , Haidar Sheikhahmadi

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

The present paper is aimed to study thermodynamical properties of phase transition for regular charged black holes. In this context, we have considered two different forms of black hole metrics supplemented with exponential and logistic…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Wajiha Javed , Z. Yousaf , Zunaira Akhtar

In recent years, many interesting works providing a topological description for black hole (BH) properties have appeared in the literature. In particular, in this framework BHs correspond to topological defects in an enlarged (off-shell)…

High Energy Physics - Theory · Physics 2026-05-04 Nelson R. F. Braga , William S. Cunha

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 study the thermodynamic topology of four and five dimensional Horava Lifshitz (HL) black holes in Horava gravity. These exotic black hole solutions belong to a special class of of black holes whose thermodynamics exhibit a line of…

High Energy Physics - Theory · Physics 2024-11-07 Bidyut Hazarika , Prabwal Phukon

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

We study the thermodynamic properties of black holes in dRGT massive gravity theory using Duan's topological current $\phi-$ mapping theory. The topological features and the corresponding thermodynamic stability conditions for neutral and…

General Relativity and Quantum Cosmology · Physics 2023-10-12 C. Fairoos , T. Sharqui

In order to include the effect of high energy and topological parameters on black holes in $F(R)$ gravity, we consider two corrections to this gravity: energy-dependent spacetime with different topological constants, and a nonlinear…

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

In this paper, we apply the thermodynamic topology framework to ultraspinning Kerr-AdS black holes in arbitrary spacetime dimensions. By constructing the off-shell Helmholtz free energy and the associated vector field, black hole states are…

High Energy Physics - Theory · Physics 2026-02-06 Min Tian , Ying Chen , Di Wu

In this paper, we explore two $f(R,T)$ gravity models and derive black hole solutions within these models. We focus on investigating how the $f(R,T)$ model influences the thermodynamic characteristics of black holes by studying their…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Bidyut Hazarika , Prabwal Phukon

The thermodynamics for regular black holes (RBHs) is considered under the restricted phase space (RPS) formalism. It is shown that the RPS formalism seems to hold for RBHs, however, in order for the extensive thermodynamic parameters to be…

General Relativity and Quantum Cosmology · Physics 2024-03-28 Bai-Hao Huang , Han-Wen Hu , Liu Zhao
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