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The action for a class of three-dimensional dilaton-gravity theories with a cosmological constant can be recast in a Brans-Dicke type action, with its free $\omega$ parameter. These theories have static spherically symmetric black holes.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonçalo A. S. Dias , José P. S. Lemos

We present a formalism for studying the thermodynamics of black holes in dilaton gravity. The thermodynamic variables are defined on a quasilocal surface surrounding the black hole system and are obtained from a general class of Lagrangians…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. D. E. Creighton , R. B. Mann

We study the thermodynamics of a shell of self-gravitating radiation, bounded by two spherical surfaces. This system provides a consistent model for a gravitating thermal reservoir for different solutions to vacuum Einstein equations in the…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Demetrios Kotopoulis , Charis Anastopoulos

In this paper, we consider a static black hole in $f(R)$ gravity. We recapitulate the expression for corrected thermodynamic entropy of this black hole due to small fluctuations around equilibrium. Also, we study the geometrothermodynamics…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Sudhaker Upadhyay , Saheb Soroushfar , Reza Saffari

We study thermodynamical structure of Einstein black holes in the presence of power Maxwell invariant nonlinear electrodynamics for two different cases. The behavior of the temperature and conditions regarding the stability of these black…

High Energy Physics - Theory · Physics 2017-06-13 S. H. Hendi , B. Eslam Panah , S. Panahiyan , M. S. Talezadeh

We study the thermodynamics of charged AdS black holes in deformed Jackiw-Teitelboim (dJT) gravity and their phase structures. In this regard, we will find some critical values for the temperature, entropy and charge of the corresponding…

High Energy Physics - Theory · Physics 2023-12-05 H. Babaei-Aghbolagh , Mirmani Mirjalali , Davood Mahdavian Yekta , Komeil Babaei Velni , Hosein Mohammadzadeh

The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider $D$ dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with…

High Energy Physics - Theory · Physics 2022-08-03 H. Babaei-Aghbolagh , Hosein Mohammadzadeh , Davood Mahdavian Yekta , Komeil Babaei Velni

The thermodynamics of black holes is shown to be directly induced by their near-horizon conformal invariance. This behavior is exhibited using a scalar field as a probe of the black hole gravitational background, for a general class of…

High Energy Physics - Theory · Physics 2009-09-29 Horacio E. Camblong , Carlos R. Ordonez

In this work we study thermodynamics of 2+1-dimensional static black holes with a nonlinear electric field. Besides employing the standard thermodynamic approach, we investigate the black hole thermodynamics by studying its thermodynamic…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Mauricio Cataldo , P. A. González , Joel Saavedra , Yerko Vázquez , Bin Wang

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

New charged solutions describing black holes with squashed horizons in 5D dilaton gravity are presented. The black hole spacetimes are asymptotically locally flat and have a spacial infinity $R\times S^1\hookrightarrow S^2$. The solutions…

High Energy Physics - Theory · Physics 2008-11-26 Stoytcho S. Yazadjiev

We explore the properties of the equilibrium space of van der Waals thermodynamic systems. We use an invariant representation of the fundamental equation by using the law of corresponding states, which allows us to perform a general…

Statistical Mechanics · Physics 2022-04-06 Hernando Quevedo , Maria N. Quevedo , Alberto 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 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

This article investigates 3D charged black holes within the scope of f(R) gravity, focusing on their thermodynamic attributes. The research primarily examines minor fluctuations around these black holes' equilibrium states and delves into…

General Physics · Physics 2024-08-08 Wen-Xiang Chen , Yao-Guang Zheng

The aim of this paper is to explore the thermodynamic topology of topological charged dilatonic black holes. To achieve this, our study will begin by examining the characteristics of topological charged black holes in dilaton gravity.…

High Energy Physics - Theory · Physics 2024-11-26 Bidyut Hazarika , B. Eslam Panah , Prabwal Phukon

We represent a new approach to exploring the thermodynamic topology of black holes, without introducing the nonphysical variable $\Theta\in[0,\pi]$ considered in previous studies, where black holes can exchange both energy and matter with…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Cao H. Nam

It is argued that in certain 2d dilaton gravity theories there exist self-consistent solutions of field equations with quantum terms which describe extreme black holes at nonzero temperature. The curvature remains finite on the horizon due…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii

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

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