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Topological arguments are currently being used as a novel scheme to discern the properties of black holes while ignoring their detailed structure and specific field equations. Among various avenues of black hole physics, where this novel…

General Relativity and Quantum Cosmology · Physics 2024-05-22 Krishnakanta Bhattacharya , Kazuharu Bamba , Douglas Singleton

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

Black holes in anti de Sitter (AdS) spacetimes undergo phase transitions which typically lead to the existence of critical points, that can be classified using topological techniques. Availing the Bragg-Williams construction which provides…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Pavan Kumar Yerra , Chandrasekhar Bhamidipati , Sudipta Mukherji

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

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

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 paper, we extend the proposed setup in [1,2] for finding the topological charges associated with the Hawking-Page and Van-der-Waals transition points as well as equilibrium phases to catch the nonextensive nature of the black hole…

High Energy Physics - Theory · Physics 2024-04-25 F. Barzi , H. El Moumni , K. Masmar

Using the Bragg-Williams construction of an off-shell free energy we compute the topological charge of the Hawking-Page transition point for black holes in AdS. A computation following from a related off-shell effective potential in the…

High Energy Physics - Theory · Physics 2022-10-12 Pavan Kumar Yerra , Chandrasekhar Bhamidipati , Sudipta Mukherji

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

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

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 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

We study whether the Hawking-Page phase transition may occur in topological de Sitter spaces (TdS) and Schwarzschild-de Sitter black hole (SdS). We show that at the critical temperature $T=T_1$, TdS with hyperbolic cosmological horizon can…

High Energy Physics - Theory · Physics 2008-11-26 Yun Soo mYung

We consider asymptotically Warped AdS$_3$ black holes in Topologically Massive Gravity. We study their thermodynamic stability and show the existence of a Hawking-Page phase transition between the black hole and thermal background phases.…

High Energy Physics - Theory · Physics 2015-06-11 Stéphane Detournay , Céline Zwikel

We study charged, static, topological black holes in pure Gauss-Bonnet gravity in asymptotically AdS space. As in general relativity, the theory possesses a unique nondegenerate AdS vacuum. It also admits charged black hole solutions which…

High Energy Physics - Theory · Physics 2016-03-23 Ligeia Aránguiz , Xiao-Mei Kuang , Olivera Miskovic

We set forth a new type of phase transition that might take place in gravitational theories whenever higher-curvature corrections are considered. It can be regarded as a sophisticated version of the Hawking-Page transition, mediated by the…

High Energy Physics - Theory · Physics 2015-06-04 Xian O. Camanho , Jose D. Edelstein , Gaston Giribet , Andres Gomberoff

Instead of scalar tensor gravity models which is applicable for description of cosmic inflation with unknown dark sector of matter/energy, at presentense there are presented different alternative scalar tensor vector gravities where…

General Relativity and Quantum Cosmology · Physics 2023-01-24 Hossein Ghaffarnejad , Elham Ghasemi Kordkheilee

The topological charge $\epsilon$ of AdS black hole is introduced in Ref.[1,2], where a complete thermodynamic first law is obtained. In this paper, we investigate a new phase transition related to the topological charge in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Shan-Quan Lan , Gu-Qiang Li , Jie-Xiong Mo , Xiao-Bao Xu

We investigate the thermodynamic curvature in the Hawking-Page phase transition and the second-order phase transition of the AdS black hole. It is shown that the thermodynamic curvature has the same behavior in these two different phase…

General Relativity and Quantum Cosmology · Physics 2021-10-01 Zhen-Ming Xu , Bin Wu , Wen-Li Yang

It is well known that interpreting the cosmological constant as the pressure, the AdS black holes behave as the van der Waals thermodynamic system. In this case, like a phase transition from vapor to liquid in a usual van der Waals system,…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi
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