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The Ruppeiner metric as determined by the Hessian of the Gibbs surface provides a geometric description of thermodynamic systems in equilibrium. An interesting example is a black hole in equilibrium with its own Hawking radiation. In this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jan E Aman , James Bedford , Daniel Grumiller , Narit Pidokrajt , John Ward

Modified gravity theories are of great interest in both observational and theoretical studies. In this article we study the correlation between the null geodesics in the background of a four-dimensional Einstein-Maxwell-Gauss-Bonnet AdS…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Kartheek Hegde , A. Naveena Kumara , C. L. Ahmed Rizwan , Md Sabir Ali , Ajith K. M

We study the thermodynamic properties of a black hole and the Hawking-Page phase transition in the asymptotically anti--de Sitter spacetime in the dilatonic Einstein-Gauss-Bonnet theory of gravitation. We show how the higher-order curvature…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Sunly Khimphun , Bum-Hoon Lee , Wonwoo Lee

Traditional diagnostics of black hole phase transitions rely on thermodynamic quantities defined at the event horizon or asymptotic boundary. Here, we demonstrate that the near-singularity geometry offers a sharp, independent probe of both…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Zi-Qiang Zhao , Zhang-Yu Nie , Shao-Wen Wei , Jing-Fei Zhang , Xin Zhang

In this paper we have studied the extended phase space thermodynamics in the canonical ensemble of black holes in massive gravity in AdS space. The black holes considered here belong to a theory of massive gravity where the graviton gain a…

General Relativity and Quantum Cosmology · Physics 2017-01-10 Sharmanthie Fernando

In this paper, we study the small-large black hole phase transition and construct the Ruppeiner geometry for the five-dimensional charged Gauss-Bonnet-AdS black hole in the grand canonical ensemble. By making use of the equal area law, we…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Run Zhou , Yu-Xiao Liu , Shao-Wen Wei

The Hawking-Page (HP) phase transitions of the anti-de Sitter black holes in the extended phase space are studied in a novel four-dimensional Einstein-Gauss-Bonnet (4EGB) gravity, which is proposed by rescaling the Gauss--Bonnet (GB)…

General Relativity and Quantum Cosmology · Physics 2021-01-11 Yuan-Yuan Wang , Bing-Yu Su , Nan Li

In this paper, we investigate the thermodynamic properties of Reissner-Nordstr\"om black holes embedded in higher $(d)$ dimensions in the framework of rainbow gravity incorporating the effects of the generalized uncertainty principle. We…

General Relativity and Quantum Cosmology · Physics 2019-06-17 Amritendu Haldar , Ritabrata Biswas

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

In this article, we explore the RN black hole under f(R) gravity and its thermodynamic properties. We begin by examining the small fluctuations around the equilibrium state and summarizing the expression for the modified thermodynamic…

General Physics · Physics 2025-12-01 Wen-Xiang Chen , Yao-Guang Zheng

In this paper, we study the thermodynamic geometry of charged Gauss-Bonnet black holes (and Reissner-Nordstr\"{o}m black holes, for the sake of comparison) in AdS: in both $(T,V)$- and $(S,P)$-planes. The thermodynamic phase space is known…

General Relativity and Quantum Cosmology · Physics 2020-05-11 Aritra Ghosh , Chandrasekhar Bhamidipati

We study the phase transition of a regular Hayward-AdS black hole by introducing a new order parameter, the potential conjugate to the magnetic charge due to the non-linearly coupled electromagnetic field. We use Landau continuous phase…

General Relativity and Quantum Cosmology · Physics 2021-08-10 A. Naveena Kumara , C. L. Ahmed Rizwan , Kartheek Hegde , Ajith K. M. , Md Sabir Ali

We examine the thermodynamics of a new class of asymptotically AdS black holes with non-constant curvature event horizons in Gauss-Bonnet Lovelock gravity, with the cosmological constant acting as thermodynamic pressure. We find that…

General Relativity and Quantum Cosmology · Physics 2022-07-08 Brayden R. Hull , Robert B. Mann

Einstein-Gauss-Bonnet theory is a string-generated gravity theory when approaching the low energy limit. By introducing the higher order curvature terms, this theory is supposed to help to solve the black hole singularity problem. In this…

High Energy Physics - Theory · Physics 2022-11-22 Chen-Hao Wu , Ya-Peng Hu , Hao Xu

In this study, we investigate the microstructures of a charged AdS (Anti-de Sitter) black hole exhibiting quantum anomalies through the lens of Ruppeiner geometry. Previous research has established that black holes undergo $P$-$V$ phase…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Haximjan Abdusattar

The interplay between a dS black hole and cosmological horizons introduces distinctive thermodynamic behavior in a dS spacetime (for example the well-known upper bounds of mass and entropy in Class. Quant. Grav. 37 (2020) 5). Based on this…

High Energy Physics - Theory · Physics 2022-05-20 Yun-Zhi Du , Huai-Fan Li , Li-Chun Zhang

We investigate phase transitions and critical phenomena of four dimensional dyonic charged AdS black holes in the framework of thermodynamic geometry. In a mixed canonical grand canonical ensemble with a fixed electric charge and varying…

High Energy Physics - Theory · Physics 2014-12-15 Pankaj Chaturvedi , Anirban Das , Gautam Sengupta

We study thermodynamic properties and phase structures of topological black holes in Einstein theory with a Gauss-Bonnet term and a negative cosmological constant. The event horizon of these topological black holes can be a hypersurface…

High Energy Physics - Theory · Physics 2011-05-05 Rong-Gen Cai

We study the thermodynamic phase diagram of three-dimensional $sl(N;\mathbb{R})$ higher spin black holes. By analyzing the semi-classical partition function we uncover a rich structure that includes Hawking-Page transitions to the AdS$_3$…

High Energy Physics - Theory · Physics 2017-09-06 Máximo Bañados , Gustavo Düring , Alberto Faraggi , Ignacio Reyes

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
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