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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

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

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

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

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

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

Black hole thermodynamics has recently witnessed three distinct classification schemes: based on local geometric properties of the temperature function, global topological invariants, and Riemann surface foliations in the complex plane. We…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Shi-Hao Zhang , Shao-Wen Wei , Jing-Fei Zhang , Xin Zhang

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

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

We study the thermodynamic topology and microscopic interaction properties of charged black holes in RegMax gravity, focusing on the role of the coupling parameter $\alpha$. Using the Duan topological current method together with Ruppeiner…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Y. Sekhmani , G. G. Luciano , S. K. Maurya , J. Rayimbaev , M. K. Jasim , I. Ibragimov , S. Muminov

In this paper, we consider a linearly charged dilatonic black holes and study their thermodynamical behavior in the context of phase transition and thermodynamic geometry. We show that, depending on the values of the parameters, these type…

High Energy Physics - Theory · Physics 2015-11-25 S. H. Hendi , A. Sheykhi , S. Panahiyan , B. Eslam Panah

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

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 thermodynamic criticality of the AdS black holes serves as an important structure during the thermal phase transition. This paper discusses about the critical points and their topology during thermal phase transitions of the Born-Infeld…

High Energy Physics - Theory · Physics 2024-05-14 Md Sabir Ali , Hasan El Moumni , Jamal Khalloufi , Karima Masmar

In this study, we investigate the thermodynamic topology of the high-dimensional dyonic AdS black holes with quasitopological electromagnetism in the Einstein-Gauss-Bonnet background. We first examine the topological charge connected to the…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Hao Chen , Meng-Yao Zhang , Hassan Hassanabadi , Bekir Can Lütfüoğlu , Zheng-Wen Long

In this paper, we investigate the thermodynamic topology of black holes within the framework of Tsallis statistics. By integrating Tsallis non-extensive statistics with topological thermodynamics, we analyze the local and global stability…

General Relativity and Quantum Cosmology · Physics 2025-07-17 Yahya Ladghami , Brahim Asfour , Amine Bouali , Ahmed Errahmani , Taoufik Ouali

Exact black holes in the Einstein Euler-Heisenberg theory are explored with an exponential entropy framework by using the topological current $\Psi$-mapping theory. The topology classes are investigated through the canonical, mixed, and…

General Relativity and Quantum Cosmology · Physics 2025-10-20 Muhammad Yasir , Tong Lining , Kazuharu Bamba

Phase transitions of Einstein-Gauss-Bonnet black holes are studied using Duan's $\phi-$ field topological current theory, where black holes are treated as topological defects in the thermodynamic parameter space. The kinetics of…

General Relativity and Quantum Cosmology · Physics 2024-04-17 C. Fairoos

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

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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