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Black holes are the fascinating objects in the universe. They represent extreme deformations in spacetime geometry. Here, we construct f(P) gravity and the first example of static-spherically symmetric black hole solution in f(P) gravity…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Aniruddha Ghosh , Ujjal Debnath

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 topological defects in the thermodynamics of regular black strings (from a four-dimensional perspective) that is symmetric under the double Wick rotation and constructed in the high-dimensional spacetime with an extra dimension…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Tran N. Hung , Cao H. Nam

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

We consider black holes in an "unsuitable box": a finite cavity coupled to a thermal reservoir at a temperature different than the black hole's Hawking temperature. These black holes are described by metrics that are continuous but not…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Daniel Grumiller , Robert McNees , Simone Zonetti

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

Phase transition is important for understanding the nature and evolution of the black hole thermodynamic system. In this study, the connection between the phase transition of a black hole and the winding number derived by the complex…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Yu-Shan Wang , Zhen-Ming Xu , Bin Wu

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 study topological numbers for five-, six- and seven-dimensional anti-de Sitter black holes in the ghost-free massive gravity. We find that when the black holes are charged, they have the same topological number. The…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Deyou Chen , Yucheng He , Jun Tao

As we all know the local topological properties of thermodynamical systems can be expressed by the winding numbers as the defects. The topological number that is the sum of all winding numbers can be used to classify the global topological…

High Energy Physics - Theory · Physics 2024-08-02 Yun-Zhi Du , Huai-Fan Li , Yu-Bo Ma , Qiang Gu

We obtain topological black hole solutions in scalar-tensor gravity with nonminimal derivative coupling between scalar and tensor components of gravity and power-law Maxwell field minimally coupled to gravity. The obtained solutions can be…

High Energy Physics - Theory · Physics 2019-02-20 M. M. Stetsko

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

We review and correct the classical critical exponents characterizing the transition from negative to positive black hole's heat capacity at high charge--angular momentum. We discuss the stability properties of black holes as a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 C. O. Lousto

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

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

We study the thermodynamics of a class of four-dimensional black hole solutions arising from the compactification of a higher-curvature gravity theory featuring an infinite tower of Lovelock-type invariants. For planar horizons, we identify…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Adolfo Cisterna , Mokhtar Hassaine , Ulises Hernandez-Vera

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

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

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

I find a class of black hole solutions to a (3+1) dimensional theory gravity coupled to abelian gauge fields with negative cosmological constant that has been proposed as the dual theory to a Lifshitz theory describing critical phenomena in…

High Energy Physics - Theory · Physics 2009-05-11 R. B. Mann