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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

We specialize the Wald formalism to derive the thermodynamical first law for static black holes with spherical/torus/hyperbolic symmetries in a variety of supergravities or supergravity-inspired theories involving multiple scalars and…

High Energy Physics - Theory · Physics 2015-06-23 Hai-Shan Liu , H. Lu

The Thermo Field Dynamics (TFD) formalism is used to investigate the regular black holes at finite temperature. Using the Teleparalelism Equivalent to General Relativity (TEGR) the gravitational Stefan-Boltzmann law and the gravitational…

High Energy Physics - Theory · Physics 2020-02-11 S. C. Ulhoa , E. P. Spaniol , R. Gomes , A. F. Santos , A. E. Santana

We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Behnam Pourhassan , Seyed Hossein Hendi , Sudhaker Upadhyay , Izzet Sakalli , Emmanuel N. Saridakis

We present a statistical mechanical calculation of the thermodynamical properties of (non rotating) isolated horizons. The introduction of Planck scale allows for the definition of an universal horizon temperature (independent of the mass…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Amit Ghosh , Alejandro Perez

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

The action for a class of three-dimensional dilaton-gravity theories, with an electromagnetic Maxwell field and a cosmological constant, can be recast in a Brans-Dicke-Maxwell type action, with its free $\omega$ parameter. For a negative…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Gonçalo A. S. Dias , José P. S. Lemos

In this paper, we study the thermodynamical properties of the (2+1)dimensional black hole with a Coulomb-like electric field and the differential form of the first law of thermodynamics is derived considering a virtual displacement of its…

General Relativity and Quantum Cosmology · Physics 2012-11-07 Alexis Larranaga , Luz Angela Garcia

We continue our study of the Einstein-Dirac-Born-Infeld system as started in \cite{Pal:2012zn}. In this paper, we studied the thermodynamical aspect of the black hole by keeping the horizon as planar in the grand canonical ensemble. In…

High Energy Physics - Theory · Physics 2018-08-27 Shesansu Sekhar Pal

We investigate a new class of $(n+1)$-dimensional topological black hole solutions in the context of massive gravity and in the presence of logarithmic nonlinear electrodynamics. Exploring higher dimensional solutions in massive gravity…

General Relativity and Quantum Cosmology · Physics 2023-10-31 S. Rajaee Chaloshtary , M. Kord Zangeneh , S. Hajkhalili , A. Sheykhi , S. M. Zebarjad

It is expected that the cosmological black holes are the closest realistic solutions of gravitational theories and they evolve with time. Moreover, the natural way of defining thermodynamic entities for the stationary ones is not applicable…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

We study black-hole thermodynamics in theories that contain dimensionful constants such as the cosmological constant or coupling constants in Wald's formalism. The most natural way to deal with these constants is to promote them to scalar…

High Energy Physics - Theory · Physics 2023-01-18 Patrick Meessen , Dimitrios Mitsios , Tomás Ortín

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 a Schwarzschild black hole, surrounded by the quintessence energy-matter in the linear and quadratic generalized uncertainty principle framework. Considering the variance in the position to be of the…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Soham Sen , Abhijit Dutta , Sunandan Gangopadhyay

A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and mass functions at $r\rightarrow\infty$ and…

General Relativity and Quantum Cosmology · Physics 2017-08-24 S. I. Kruglov

We construct a kind of thermal potential and then put the black hole thermodynamic system in it. In this regard, some thermodynamic properties of the black hole are related to the geometric characteristics of the thermal potential. Driven…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Zhen-Ming Xu

Kelly and Leff demonstrated and discussed formal and conceptual similarities between basic thermodynamic formulas for the classical ideal gas and black body photon gas. Leff pointed out that thermodynamic formulas for the photon gas cannot…

General Physics · Physics 2011-03-17 Vladan Pankovic , Darko V. Kapor

This study examines the gravitational and thermodynamic properties of static, spherically symmetric black holes within cosmic voids -- vast underdense regions of the universe. By deriving a novel solution based on a universal density…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Francisco Bento Lustosa , Milko Estrada , Marcony S. Cunha , Celio R. Muniz

The Hamiltonian thermodynamics formalism is applied to the general $d$-dimensional Reissner-Nordstr\"om-anti-de Sitter black hole with spherical, planar, and hyperbolic horizon topology. After writing its action and performing a Legendre…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Gonçalo A. S. Dias , José P. S. Lemos

We analyze the structural and thermodynamic properties of $D$-dimensional ($D \geq 4$), asymptotically flat or Anti-de-Sitter, electrically charged black hole solutions, resulting from the minimal coupling of general nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-04-24 H. Benbellout , J. Diaz-Alonso , D. Rubiera-Garcia