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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

The extended thermodynamics of Reissner-Nordstr\"om charged black holes in D-dimensional anti-de Sitter spacetime has a phase structure in the (T,p) plane that includes a line of first order phase transitions ending in a second order…

High Energy Physics - Theory · Physics 2018-12-07 Clifford V. Johnson

We investigate the universality of some features for the extremal phase transition of black holes and unify all the approaches which have been applied in different spacetimes. Unlike the other existing approaches where the information of…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Krishnakanta Bhattacharya , Sumit Dey , Bibhas Ranjan Majhi , Saurav Samanta

Under the framework of thermodynamics, the phase transition of the black hole is a general issue in general relativity. In this work, the phase transition of charged black holes is discussed carefully. The metric tensor of thermodynamics is…

General Physics · Physics 2024-05-09 Bobin Li

First-order phase transitions of black holes have been extensively studied within thermodynamic frameworks, yet the corresponding evolution of spacetime geometric properties remains unclear. This paper establishes a purely differential…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Shi-Hao Zhang , Zi-Qiang Zhao , Zi-Yuan Li , Jing-Fei Zhang , Xin Zhang

We investigate the oscillation of the Kasner exponent $p_t$ near critical point of the hairy black holes dual to holographic superfluid and reveal a clear inverse periodicity $f(T_c/(T_c-T))$ in a large region below the critical…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Zi-Qiang Zhao , Zhang-Yu Nie , Xing-Kun Zhang , Yu-Sen An , Jing-Fei Zhang , Xin Zhang

The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes. We investigate the phase structure, thermodynamic geometry and critical behavior of a Reissner-Nordstrom-AdS black hole…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Peng Wang , Houwen Wu , Haitang Yang

With the help of the parametric solution of the Maxwell equal area law for the Gauss-Bonnet AdS black hole in five dimensions, we find the second analytical solution to the first order phase transition. We analyze the asymptotic behaviors…

High Energy Physics - Theory · Physics 2018-11-07 Yan-Gang Miao , Zhen-Ming Xu

Using geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where…

General Relativity and Quantum Cosmology · Physics 2017-02-03 Rabin Banerjee , Bibhas Ranjan Majhi , Saurav Samanta

We investigate the thermodynamics of a four-dimensional charged black hole in a finite cavity in asymptotically flat and asymptotically de Sitter space. In each case, we find a Hawking-Page-like phase transition between a black hole and a…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip , S. Vaidya

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found the following novel results. (i) Contrary to the charged AdS black hole,…

High Energy Physics - Theory · Physics 2021-12-02 Amin Dehyadegari , Ahmad Sheykhi

We investigate phase transitions and critical phenomena in Kerr-Newman-Anti de Sitter black holes in the framework of the geometry of their equilibrium thermodynamic state space. The scalar curvature of these state space Riemannian…

High Energy Physics - Theory · Physics 2015-05-18 Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta

In this paper, the new formalism of thermodynamic geometry proposed in [1] is employed in investigating phase transition points and the critical behavior of a Gauss Bonnet-AdS black hole in four dimensional spacetime. In this regard,…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Seyed Ali Hosseini Mansoori

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

We investigate $P$-$V$ criticality, with a focus on Ruppeiner geometry, in the extended phase space of Hayward anti-de Sitter (AdS) black holes. Through thermodynamic analysis, we confirm that Hayward-AdS black holes undergo distinct…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Haximjan Abdusattar

Building upon the long-standing paradigm that dynamics near a spacelike singularity are governed by a sequence of Kasner epochs, we demonstrate that this picture is fundamentally altered when higher-curvature or quantum gravitational…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Mei-Ning Duan , Li Li , Yu-Xuan Li , Fu-Guo Yang

We explore the thermodynamic properties of the regular Bardeen-AdS black hole obtained by imposing an additional constraint on a singular "mother" black hole. This constraint eliminates the physical singularity but leads to the breakdown of…

High Energy Physics - Theory · Physics 2025-10-09 Meng-Sen Ma , Yun He , Xiao-Ming Wang , Huai-Fan Li

It is well-known that the non-extremal anti-de-Sitter (AdS) black holes show various van der Waals type criticalities, such as the $P-V$, $T-S$, $Y-X$, $Q^2-\Psi$ etc. In these cases, the phase space diagram of the relevant quantities are…

General Relativity and Quantum Cosmology · Physics 2020-01-23 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

We study the thermodynamics and the chemical potential for a five-dimensional charged AdS black hole by treating the cosmological constant as the number of colors $N$ in the boundary gauge theory and its conjugate quantity as the associated…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Shao-Wen Wei , Bin Liang , Yu-Xiao Liu

We investigate the thermodynamics of phase transition for $ (n+1) $ dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rabin Banerjee , Dibakar Roychowdhury
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