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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

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

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

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

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

In this paper, we study the topological properties of five-dimensional rotating charged black holes in different ensembles.The topological numbers for the black holes are gotten in the grand canonical and canonical ensembles, which are 1.…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yucheng He , Changxiang Lei , Deyou Chen

We study the thermodynamic topology of 4D Euler-Heisenberg-AdS (EHAdS) black hole and higher-order QED corrected Euler-Heisenberg-AdS black hole in different ensembles using generalized off-shell free energy. In this approach, black holes…

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

The phase transition of four-dimensional charged AdS black hole solution in the $R+f(R)$ gravity with constant curvature is investigated in the grand canonical ensemble, where we find novel characteristics quite different from that in…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Gu-Qiang Li , Jie-Xiong Mo

Considering de Rham-Gabadadze-Tolley theory of massive gravity coupled with (ghost free) higher curvature terms arisen from the Lovelock Lagrangian, we obtain charged AdS black hole solutions in diverse dimensions. We compute thermodynamic…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Seyed Hossein Hendi , Ali Dehghani

The extended thermodynamics of static charged AdS black holes in conformal gravity is analyzed. The $P-V$ criticality of these black holes has some unusual features. There exists a single critical point with critical temperature $T_c$ and…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Wei Xu , Liu Zhao

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

We investigate the thermodynamics and critical phenomena for four dimensional RN-AdS and Kerr-AdS black holes in the canonical ensemble both for the normal and the extended phase space employing the framework of thermodynamic geometry. The…

High Energy Physics - Theory · Physics 2018-10-23 Pankaj Chaturvedi , Sayid Mondal , Gautam Sengupta

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 paper, we investigate the topological charge and the conditions for the existence of the photon sphere (PS) in Kiselev-AdS black holes within \(f(R, T)\) gravity. We employ two different methods based on Duan's topological current…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Saeed Noori Gashti , Mohammad Ali S. Afshar , Mohammad Reza Alipour , Yassine Sekhmani , Jafar Sadeghi , Javlon Rayimbaev

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

In this paper we have studied the critical phenomena in higher curvature charged black holes in the anti-de Sitter (AdS) space-time. As an example we have considered the third order Lovelock-Born-Infeld black holes in AdS space-time. We…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Arindam Lala

We study the thermodynamics in the grand canonical ensemble of D-dimensional charged Gauss-Bonnet-AdS black holes in the extended phase space. We find that the usual small-large black hole phase transition, which exhibits analogy with the…

High Energy Physics - Theory · Physics 2015-06-19 De-Cheng Zou , Yunqi Liu , Bin Wang

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

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

Sign and magnitude of the thermodynamic curvature provides empirical information about the nature of microstructures of a general thermodynamic system. For charged black holes in AdS, thermodynamic curvature is positive for large charge or…

High Energy Physics - Theory · Physics 2023-08-07 Aditya Singh , Poulami Mukherjee , Chandrasekhar Bhamidipati
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