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By viewing black hole solutions as topological defects in thermodynamic parameter space, we unveil a novel topological class and two new topological subclasses, respectively denoted $W^{0-\leftrightarrow 1+}$, $\overline{W}^{1+}$, and…

High Energy Physics - Theory · Physics 2025-03-11 Di Wu , Wentao Liu , Shuang-Qing Wu , Robert B. Mann

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 paper, we investigate the thermodynamic properties of spherically symmetric, static black hole solutions within the framework of Conformal Killing Gravity (CKG). This is a modified theory of gravity that retains all solutions of…

General Relativity and Quantum Cosmology · Physics 2025-08-19 S. Ghaffari , G. G. Luciano

This work explores the universal topological classes of various black hole configurations immersed in a quintessence field. The results indicate that the Schwarzschild black hole surrounded by quintessence is of the $W^{1-}$ type,…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Meng-Yao Zhang , Hou-You Zhou , Hao Chen , Hassan Hassanabadi , Zheng-Wen Long

In this Letter, we investigate the universal classifications of black hole states by considering them as topological defects within the thermodynamic parameter space. Through the asymptotic behaviors of the constructed vector, our results…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Shao-Wen Wei , Yu-Xiao Liu , Robert B. Mann

This work explores the universal classification of thermodynamic topology for charged static black holes within the $z=3$ Ho\u{r}ava-Lifshitz gravity theory, considering both canonical and grand canonical ensembles. We introduce a new…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Hao Chen , Meng-Yao Zhang , Hassan Hassanabadi , Qihong Huang , Zheng-Wen Long

In this work, we explore black hole and regular black hole solutions in the recently proposed Conformal Killing Gravity (CKG). This theory is of third order in the derivatives of the metric tensor and essentially satisfies three theoretical…

General Relativity and Quantum Cosmology · Physics 2024-02-07 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

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 investigate the thermodynamic properties of black holes in Conformal Weyl Gravity (CWG) using the Mannheim-Kazanas solution, with particular emphasis on quantum corrections that become significant near the Planck scale. Our analysis…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Erdem Sucu , Suat Dengiz , İzzet Sakallı

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

In this article, we present a study on thermodynamics of a class of regular black holes. Such a class includes Bardeen and Hayward regular black holes. We obtained thermodynamic quantities like the Hawking temperature, entropy, and heat…

General Relativity and Quantum Cosmology · Physics 2018-05-15 R. V. Maluf , Juliano C. S. Neves

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

In this paper, we identify a novel topological subclass, dubbed $\widetilde{W}^{1+}$, in the thermodynamics of higher odd-dimensional, multiply rotating Kerr-AdS black holes. This discovery extends the established topological classification…

High Energy Physics - Theory · Physics 2025-12-22 Wangyu Ai , Di Wu

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

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Aydin Tavlayan , Bayram Tekin

We have investigated the black hole thermodynamics and the phase transition for renormalized group improved asymptotically safe Schwarzschild black hole. This geometry takes into account the quantum gravitational correction in the running…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Rituparna Mandal , Sunandan Gangopadhyay

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

In this paper, we delve into the intricate thermodynamic topology of quantum-corrected Anti-de Sitter-Reissner-Nordstrm (AdS-RN) black hole within the framework of Kiselev spacetime. By employing the generalized off-shell Helmholtz free…

General Relativity and Quantum Cosmology · Physics 2024-10-21 Jafar Sadeghi , Saeed Noori Gashti , Mohammad Reza Alipour , Mohammad Ali S. Afshar

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

In a recent study, Wei et al. [Phys. Rev. D 110, L081501 (2024)] proposed a universal classification scheme that interprets black hole solutions as topological defects within the thermodynamic parameter space, and then divides black hole…

High Energy Physics - Theory · Physics 2024-12-03 Xiao-Dan Zhu , Wentao Liu , Di Wu
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