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We study the thermodynamic topology of four dimensional dyonic Anti-de-Sitter(AdS) black hole in three different ensembles: canonical, mixed and grand canonical ensemble. While canonical ensemble refers to the ensemble with fixed electric…

High Energy Physics - Theory · Physics 2024-04-03 Naba Jyoti Gogoi , Prabwal Phukon

The local topological properties of black hole systems can be expressed by the winding numbers as the defects. As so far, AdS black hole thermodynamics is often depicted by the dual parameters of $(T,S),~ (P,V), (\Phi, Q)$ in the extended…

High Energy Physics - Theory · Physics 2024-08-12 Han Wang , Yun-Zhi Du

We present a systematic investigation of the thermodynamic topology for a broad class of asymptotically charged Anti-de Sitter (AdS) black holes in Einstein-Maxwell-Dilaton (EMD) theories, examining how scalar coupling parameters and…

High Energy Physics - Theory · Physics 2025-09-09 H. Babaei-Aghbolagh , Habib Esmaili , Song He , Hosein Mohammadzadeh

Recent studies have demonstrated that AdS black holes possess the basic characteristics of a standard thermodynamic system. Concurrently, the thermodynamic properties of spacetimes featuring multiple horizons with distinct radiation…

High Energy Physics - Theory · Physics 2025-08-01 Shan-Xia Bao , Meng-Sen Ma , Huai-Fan Li , Yun-Zhi Du

In this work, we explore the thermodynamic topology of phantom AdS black holes in the context of massive gravity. To this end, we evaluate these black holes in two distinct ensembles: the canonical and grand canonical ensembles (GCE). We…

General Relativity and Quantum Cosmology · Physics 2024-08-19 Hao Chen , Di Wu , Meng-Yao Zhang , Hassan Hassanabadi , Zheng-Wen Long

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

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

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 work, we study the thermodynamic topology of a static, a charged static and a charged, rotating black hole in $f(R)$ gravity. For charged static black holes, we work in two different ensembles: fixed charge$(q)$ ensemble and fixed…

High Energy Physics - Theory · Physics 2024-04-03 Bidyut Hazarika , Prabwal Phukon

In this study, we investigate the thermodynamic topology of the Kerr-Sen-Ads black hole in restricted phase space. In the restricted phase space, a new parameter, central charge $C$, and its conjugate parameter $\mu$ are introduced,…

High Energy Physics - Theory · Physics 2025-02-17 Bidyut Hazarika , Prabwal Phukon

Two-phase transition branches of the Euler-Heisenberg (EH) anti-de Sitter (AdS) black hole (BH) were derived from its phase transition critical behavior by Magos et al. [Phys. Rev. D. 102, 084011 (2020)]. We found that the phase transition…

High Energy Physics - Theory · Physics 2022-09-21 Guan-Ru Li , Sen Guo , En-Wei Liang

In this paper, utilizing the generalized off shell Helmholtz free energy, we explore the topological numbers of the four-dimensional static accelerating black hole and its AdS extension, as well as the static charged accelerating black hole…

High Energy Physics - Theory · Physics 2023-10-24 Di Wu

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

The topology of black hole thermodynamics is a fascinating area of study that explores the connections between thermodynamic properties and topological features of black holes. We successfully derive the field equations for…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Yassine Sekhmani , Saeed Noori Gashti , Mohammad Ali S. Afshar , Mohammad Reza Alipour , Jafar Sadeghi , Behnam Pourhassan , Javlon Rayimbaev

In this paper, we investigate, in the framework of the topological approach to black hole thermodynamics, using the generalized off-shell Helmholtz free energy, the topological numbers of the static multi-charge AdS black holes in four- and…

High Energy Physics - Theory · Physics 2024-07-01 Di Wu , Shuang-Yong Gu , Xiao-Dan Zhu , Qing-Quan Jiang , Shu-Zheng Yang

In this paper, we study the universal thermodynamic topological classes of a family of black holes in a perfect fluid dark matter (PFDM) background. Recent research on black hole thermodynamics suggests that all black holes can be…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Muhammad Rizwan , Mubasher Jamil , M. Z. A. Moughal

In this article, we investigate the thermodynamic topology of some black holes, namely AdS Reissner Nordstrom (R-N), AdS Einstein-Gauss-Bonnet (EGB), and AdS Einstein-power-Yang-Mills (EPYM), from different frameworks: bulk-boundary (BB)…

High Energy Physics - Theory · Physics 2025-12-29 Jafar Sadeghi , Mohmmad Ali S. Afshar , Saeed Noori Gashti , Mohammad Reza Alipour

We study the thermodynamics of a $d$-dimensional Schwarzschild black hole in the canonical ensemble. This generalizes York's formalism to any number $d$ of dimensions. The canonical ensemble, characterized by a cavity of fixed radius $r$…

High Energy Physics - Theory · Physics 2021-04-20 Rui André , José P. S. Lemos

We investigate the thermodynamics of Reissner-Nordstrom Gauss-Bonnet (RN-GB) black holes in anti-de Sitter (AdS) space with three horizon geometries (k=+1,0,-1) within the grand canonical ensemble. Using the recently developed topological…

High Energy Physics - Theory · Physics 2025-03-07 Imtak Jeon , Bum-Hoon Lee , Wonwoo Lee , Madhu Mishra

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
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