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Using the new normalized thermodynamic scalar curvature, we investigate the microstructures and phase transitions of black holes in massive gravity for horizons of various topologies. We find that the graviton mass enhances the repulsive…

High Energy Physics - Theory · Physics 2020-08-26 Pavan Kumar Yerra , Chandrasekhar Bhamidipati

This paper studies the thermodynamics and Ruppeiner geometry of D-dimensional RN black holes. We analyze the thermodynamic curvature scalar $R$ in various thermodynamic ensembles. It is found that in an ensemble of fixed charge (canonical…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Wen-Xiang Chen

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

In this paper, we study thermodynamic geometry for pure Lovelock black holes. The thermodynamics scalar curvature contains information about the interaction of microstates that might be repulsive or attractive. We obtain critical exponents…

High Energy Physics - Theory · Physics 2022-11-15 Mohammadreza Ebrahimi Khuzani , Behrouz Mirza , Mahnaz Tavakoli Kachi

Thermodynamics unavoidably contains fluctuation theory, expressible in terms of a unique thermodynamic information metric. This metric produces an invariant thermodynamic Riemannian curvature scalar $R$ which, in fluid and spin systems,…

General Relativity and Quantum Cosmology · Physics 2015-06-11 George Ruppeiner

In this work, we investigate the thermodynamic geometry of Reissner-Nordstrom Anti-de Sitter (RN-AdS) black holes with quintessence in the grand canonical ensemble. The analysis employs the Ruppeiner curvature scalar to elucidate the…

High Energy Physics - Theory · Physics 2026-05-14 Apurba Tiwari , Randeep Kaur , Javed Khan Bhutto , Thafasalijyas Vayalpurayil , Mohammed Sayeeduddin Habeeb

This research paper presents a black hole solution with a rational non-linear electrodynamics source in the Rastall gravity framework. The paper analyzes the thermodynamic properties of the solution in normal phase space and explores its…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Yassine Sekhmani , Dhruba Jyoti Gogoi , Ratbay Myrzakulov , Javlon Rayimbaev

Singularities in the thermodynamics of Kerr-Newman black holes are commonly associated with phase transitions. However, such interpretations are complicated by a lack of stability and, more significantly, by a lack of conclusive insight…

General Relativity and Quantum Cosmology · Physics 2008-11-26 George Ruppeiner

The phase transition and thermodynamic geometry of a 4-dimensional AdS topological charged black hole in de Rham, Gabadadze and Tolley (dRGT) massive gravity have been studied. After introducing a normalized thermodynamic scalar curvature,…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Bin Wu , Chao Wang , Zhen-Ming Xu , Wen-Li Yang

We probe the microstructure of the dRGT massive black hole in an anti-de Sitter background. The calculations are performed in an extended phase space with pressure and volume taken as fluctuation variables. We analyze the microstructure by…

General Relativity and Quantum Cosmology · Physics 2023-06-16 T. K. Safir , C. L. Ahmed Rizwan , Deepak Vaid

We investigate the thermodynamic geometry and phase transition of Kehagias-Sfetsos black hole in the deformed Horava-Lifshitz gravity with coupling constant $\lambda=1$. The phase transition in black hole thermodynamics is thought to be…

High Energy Physics - Theory · Physics 2015-03-13 Shao-Wen Wei , Yu-Xiao Liu , Yong-Qiang Wang , Heng Guo

Being placed in a cavity is an effective way of reaching thermodynamic equilibrium for black holes. We investigate a Kerr-Newman black hole in a cavity as well as compare it with two reduced cases, i.e., a RN black hole in a cavity and a…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Yuchen Huang , Jun Tao , Peng Wang , Shuxuan Ying

The Euler-Heisenberg black holes with quantum electrodynamics (QED) correction are embraced by a cavity in this paper, which serves as a boundary of the black hole spacetime and contributes to the equilibrium of the system. We explore the…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Qin Yu , Qi Xu , Jun Tao

Ruppeiner geometry has been successfully applied in the study of the black hole microstructure by combining with the small-large black hole phase transition, and the potential interactions among the molecular-like constituent degrees of…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Shao-Wen Wei , Yu-Xiao Liu

We solve the condundrum on whether the molecules of the Reissner-Nordstr\"om black hole interact through the Ruppeiner thermodynamic geometry, basing our study on the concept of the black hole molecule proposed in [Phys. Rev. Lett. 115…

General Relativity and Quantum Cosmology · Physics 2020-09-02 Zhen-Ming Xu , Bin Wu , Wen-Li Yang

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

In this work, we attempt to explore a possible connection between thermodynamic topology and the thermodynamic geometry formulation of black hole thermodynamics. We study the topological structure of black hole thermodynamic phase spaces by…

High Energy Physics - Theory · Physics 2025-07-22 Bidyut Hazarika , Prabwal Phukon

We study the thermodynamic properties of the Reissner-Nordstr\"om black hole with cosmological constant, expressed in terms of the curvature radius, by using the approach of shadow thermodynamics and the formalism of geometrothermodynamics.…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Jose M. Ladino , Carlos E. Romero-Figueroa , Hernando Quevedo

Combining with the small-large black hole phase transition, the thermodynamic geometry has been well applied to study the microstructure for the charged AdS black hole. In this paper, we extend the geometric approach to the rotating…

General Relativity and Quantum Cosmology · Physics 2021-12-06 Shao-Wen Wei , Yu-Xiao Liu

In this paper, we study the properties of the (2+1)-dimensional black holes from the viewpoint of geometrothermodynamics. We show that the Legendre invariant metric of the (2+1)-dimensional black holes can produce correctly the behavior of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 YiWen Han , Gang Chen
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