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Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the phase manifold, we derive thermodynamic…

General Relativity and Quantum Cosmology · Physics 2011-03-28 H. Quevedo , A. Sanchez , S. Taj , A. Vazquez

In this paper, we take into account black hole solutions of Brans-Dicke-Maxwell theory and investigate their stability and phase transition points. We apply the concept of geometry in thermodynamics to obtain phase transition points and…

General Relativity and Quantum Cosmology · Physics 2016-08-24 S. H. Hendi , S. Panahiyan , B. Eslam Panah , Z. Armanfard

Following earlier study regarding Einstein-Gauss-Bonnet-massive black holes in the presence of Born-Infeld nonlinear electromagnetic field [S. H. Hendi, B. Eslam Panah and S. Panahiyan, arXiv:1510.00108], we study thermodynamical structure…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Seyed Hossein Hendi , Gu-Qiang Li , Jie-Xiong Mo , Shahram Panahiyan , Behzad Eslam Panah

Motivated by providing preliminary steps to understand the conception of quantum gravity, in this paper, we study the phase structure of a semiclassical gravitational system. We investigate the stability conditions and phase transition of…

High Energy Physics - Theory · Physics 2017-01-19 S. H. Hendi , S. Panahiyan , B. Eslam Panah , M. Momennia

We study a stationary and axisymmetric binary system composed of two identical Kerr black holes, whose physical parameters satisfy the Smarr thermodynamic formula. Then, we use the formalism of geometrothermodynamics to show that the…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

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

We investigate the connection between thermodynamic phase transitions and quasi-normal modes (QNMs) in charged black holes with a positive curvature constant, within the framework of $F(R)$-Euler-Heisenberg gravity. Nonlinear…

High Energy Physics - Theory · Physics 2026-01-13 Zi-Yu Hou , Yu-Qi Lei , Xian-Hui Ge

The thermodynamics of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) charged black hole from string theory is reformulated within the context of the recently developed formalism of geometrothermodynamics. The geometry of the space…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Alexis Larranaga , Sindy Mojica

We investigate the geometric properties of the equilibrium manifold of a thermodynamic system determined by the van der Waals equations of state. We use the formalism of geometrothermodynamics to obtain results that are invariant under…

Mathematical Physics · Physics 2012-05-17 Hernando Quevedo , Antonio Ramirez

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

We assume the validity of the Bekenstein-Hawking entropy, as given in terms of the horizon area of the Bardeen regular black hole, and consider it as the fundamental thermodynamic equation. We derive and investigate the behavior of the main…

General Relativity and Quantum Cosmology · Physics 2025-02-10 H. Quevedo , M. N. Quevedo , A. Sanchez

In this paper we have studied thermodynamics of a black hole in massive gravity in the canonical ensemble. The massive gravity theory in consideration here has a massive graviton due to Lorentz symmetry breaking. The black hole studied here…

General Relativity and Quantum Cosmology · Physics 2016-12-15 Sharmanthie Fernando

We investigate dyonic black holes in a weak field expansion of non-linear electrodynamics. The breadth of parameter space permits a rich thermodynamic structure, additional turning points and intricate phase phenomena. Energy conditions are…

High Energy Physics - Theory · Physics 2025-10-07 Lewis Croney , Ruth Gregory , Carlos J. Ramírez-Valdez

We discuss the thermodynamics of a general nonlinear electrodynamics (NLED) asymptotically flat black hole enclosed in a finite spherical cavity. A canonical ensemble is considered, which means that the temperature and the charge on the…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Peng Wang , Houwen Wu , Haitang Yang

We investigate the phase transitions of black holes with conformal anomaly in canonical ensemble from different perspectives. Some interesting and novel phase transition phenomena have been discovered. Firstly, we discuss the behavior of…

High Energy Physics - Theory · Physics 2014-04-08 Jie-Xiong Mo , Wen-Biao Liu

In this article, we consider a conventional black hole under f(R) gravity. Due to the small fluctuations around the equilibrium state, we have summarized the expression of the modified thermodynamic entropy of this black hole. At the same…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Wen-Xiang Chen , Yao-Guang Zheng , Jing-Yi Zhang

Modern cosmological models are constructed in the framework of thermodynamic approaches developed within a Van der Waals-Maxwell theory of the first-order phase transitions. In the present work we study a geometrothermodynamics of…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Halina Grushevskaya , Nina Krylova

We present a review of the main aspects of geometrothermodynamics, an approach which allows us to associate a specific Riemannian structure to any classical thermodynamic system. In the space of equilibrium states, we consider a Legendre…

Mathematical Physics · Physics 2011-04-11 Hernando Quevedo , Alejandro Vazquez

In this work, we treat black holes as bifurcation points and explore their thermodynamic phase structure using the framework of bifurcation theory which is a commonly used method from nonlinear dynamics. By constructing an appropriate…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Bidyut Hazarika , Prabwal Phukon

We investigate the thermodynamics of Gauss-Bonnet black holes in asymptotically de Sitter spacetimes embedded in an isothermal cavity, via a Euclidean action approach. We consider both charged and uncharged black holes, working in the…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Sumarna Haroon , Robie A. Hennigar , Robert B. Mann , Fil Simovic