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We consider the thermodynamics and Geometrothermodynamics of the Myers-Perry black holes in five dimensions for three different cases, depending on the values of the angular momenta. We follow Davies approach to study the thermodynamics of…

High Energy Physics - Theory · Physics 2013-10-25 Alessandro Bravetti , Davood Momeni , Ratbay Myrzakulov , Aziza Altaibayeva

We reconsider the study of critical behaviors of Kerr-Newman AdS black holes in four dimensions. The study is made in terms of the moduli space parameterized by the charge Q and the rotation parameter a, relating the mass M of the black…

High Energy Physics - Theory · Physics 2015-06-16 A. Belhaj , M. Chabab , H. El Moumni , L. Medari , M. B. Sedra

An important phase transition in black hole thermodynamics is associated with the divergence of the specific heat with fixed charge and angular momenta, yet one can demonstrate that neither Ruppeiner's entropy metric nor Weinhold's energy…

High Energy Physics - Theory · Physics 2010-12-17 Haishan Liu , H. Lu , Mingxing Luo , Kai-Nan Shao

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

In this paper, we explore two $f(R,T)$ gravity models and derive black hole solutions within these models. We focus on investigating how the $f(R,T)$ model influences the thermodynamic characteristics of black holes by studying their…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Bidyut Hazarika , Prabwal Phukon

We use the Legendre invariant formalism of geometrothermodynamics to investigate the geometric properties of the equilibrium space of a spherically symmetric phantom black hole with electric charge and dilaton. We find that at certain…

General Relativity and Quantum Cosmology · Physics 2016-08-24 H. Quevedo , M. N. Quevedo , A. Sanchez

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 review we summarize, expand, and set in context recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a…

High Energy Physics - Theory · Physics 2014-01-28 Natacha Altamirano , David Kubiznak , Robert B. Mann , Zeinab Sherkatghanad

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

Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic…

Mathematical Physics · Physics 2014-04-28 Gustavo Arciniega , Alberto Sánchez

The phase transition of Reissner-Nordstr\"om black holes in $(n+1)$-dimensional anti-de Sitter spacetime is studied in details using the thermodynamic analogy between a RN-AdS black hole and a van der Waals liquid gas system. We first…

High Energy Physics - Theory · Physics 2015-03-19 Chao Niu , Yu Tian , Xiaoning Wu

Recently, the phase space of black holes in a spherical cavity of radius $r_{B}$ has been extended by introducing a thermodynamic volume $V\equiv4\pi r_{B}^{3}/3$. In the extended phase space, we consider the thermodynamic geometry, which…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Peng Wang , Feiyu Yao

In this paper, we consider a linearly charged dilatonic black holes and study their thermodynamical behavior in the context of phase transition and thermodynamic geometry. We show that, depending on the values of the parameters, these type…

High Energy Physics - Theory · Physics 2015-11-25 S. H. Hendi , A. Sheykhi , S. Panahiyan , B. Eslam Panah

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

The geometry of thermodynamic state space is studied for asymptotically anti-de Sitter black holes in D-dimensional space times. Convexity of thermodynamic potentials and the analytic structure of the response functions is analysed. The…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Brian P. Dolan

Thermodynamic fluctuation metrics in Ruppeiner's formalism are worked out for Kerr-AdS black holes in the extended state space. The implications of constraints upon the state space geometry and their correspondence with thermodynamical…

High Energy Physics - Theory · Physics 2017-06-07 Anurag Sahay

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

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly…

General Relativity and Quantum Cosmology · Physics 2016-11-28 L. F. Escamilla-Herrera , E. Mena-Barboza , J. Torres-Arenas

This article puts forward a hypothesis.In this article, the derivative of the cosmological constant is positive, and there is a possibility that the constant evolves from negative in the early universe to positive in the later period. We…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Wen-Xiang Chen , Yao-Guang Zheng

A coordinate system that blockwise-simplifies the Kerr-Newman black hole's thermodynamical state space Ruppeiner metric geometry is constructed, with discussion of the limiting cases corresponding to simpler black holes. It is deduced that…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Edward Anderson