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Black hole solutions in pure quadratic theories of gravity are interesting since they allow to formulate a set of scale-invariant thermodynamics laws. Recently, we have proven that static scale-invariant black holes have a well-defined…

General Relativity and Quantum Cosmology · Physics 2015-07-24 Guido Cognola , Massimiliano Rinaldi , Luciano Vanzo

We study thermodynamics and geometrothermodynamics of a particular black hole configuration with a nonlinear source. We use the mass as fundamental equation, from which it follows that the curvature radius must be considered as a…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Alberto Sánchez

This paper is devoted to the study of the statistical mechanics of trapped gravitons obtained by 'trapping' a spherical gravitational wave in a box. As a consequence, a discrete spectrum dependent on the Legendre index $\ell$ similar to the…

High Energy Physics - Theory · Physics 2017-02-03 Stefano Viaggiu

A family of spacetimes suitable for describing the interior of a non-rotational black hole is constructed. The stress-energy tensor is that of a spherically symmetric vacuum, as commonly assumed nowadays. The problem of matching the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Emilio Elizalde , Sergi R. Hildebrandt

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 give a brief survey of thermodynamic metrics, in particular the Hessian of the entropy function, and how they apply to black hole thermodynamics. We then provide a detailed discussion of the Gibbs surface of Kerr black holes. In…

General Relativity and Quantum Cosmology · Physics 2015-10-30 Jan Åman , Ingemar Bengtsson , Narit Pidokrajt

This paper studies Einstein-Gauss-Bonnet (EGB) black holes surrounded by three phenomenological distributions of dark matter halos. The main result is obtaining the analytical solutions for the metric and all thermodynamic quantities, such…

General Relativity and Quantum Cosmology · Physics 2023-09-15 I. D. D. Carvalho , G. Alencar , C. R. Muniz

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Zi-Liang Wang , Emmanuele Battista

A Liouville formalism was proposed many years ago to account for the black hole entropy. It was recently updated to connect thermodynamics of general black holes, in particular the Hawking temperature, to two-dimensional Liouville theory.…

High Energy Physics - Theory · Physics 2012-08-09 Fang-Fang Yuan , Yong-Chang Huang

The thermodynamics of black holes is reformulated within the context of the recently developed formalism of geometrothermodynamics. This reformulation is shown to be invariant with respect to Legendre transformations, and to allow several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hernando Quevedo

We are entering a new era to test the strong gravity regime around astrophysical black holes. The possibility that they are actually horizonless ultracompact objects and then free from the information loss paradox can be examined more…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jing Ren

We obtain an exact spherically symmetric and magnetically charged black hole solution in 4D Einstein-Gauss-Bonnet gravity coupled with nonlinear electrodynamics with the Lagrangian ${\cal L}_{NED} = -{\cal F}/(1+\sqrt{2\mid\beta{\cal…

General Relativity and Quantum Cosmology · Physics 2021-04-19 S. I. Kruglov

An investigation of black hole thermodynamics based on Tsallis statistical mechanics is explored through the study of the thermodynamics of a gas system located near the horizon of a black hole. In spite of the difficulty in exploring black…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Phuwadon Chunaksorn , Ratchaphat Nakarachinda , Pitayuth Wongjun

Black holes encountered in general relativity are characterized by spacetime singularities hidden within an event horizon. These singularities provide a key motivation to go beyond general relativity and look for regular black holes where…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Frank Saueressig

The Hessian of the entropy function can be thought of as a metric tensor on the state space. In the context of thermodynamical fluctuation theory Ruppeiner has argued that the Riemannian geometry of this metric gives insight into the…

General Relativity and Quantum Cosmology · Physics 2009-01-14 Jan Aman , Ingemar Bengtsson , Narit Pidokrajt

In this paper we study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of generalized uncertainty principle with correction terms upto fourth order in momentum…

General Physics · Physics 2018-06-11 Sunandan Gangopadhyay , Abhijit Dutta

This study investigates the thermodynamics of topological black hole solutions in $R^{2}$ gravity, incorporating the effects of small statistical fluctuations up to first-order corrections. We precisely calculate entropy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Sudhaker Upadhyay , Jyotish Kumar , Dharm Veer Singh , Yerlan Myrzakulov , Kairat Myrzakulov , Abhishek Ashish

Employing two classes of nonlinear electrodynamics, we obtain topological black hole solutions of Gauss-Bonnet gravity. We investigate geometric properties of the solutions and find that there is an intrinsic singularity at the origin. We…

General Relativity and Quantum Cosmology · Physics 2015-07-13 S. H. Hendi , S. Panahiyan , E. Mahmoudi

Using the mass-smeared scheme of black holes, we study the thermodynamics of black holes. Two interesting models are considered. One is the self-regular Schwarzschild-AdS black hole whose mass density is given by the analogue to probability…

High Energy Physics - Theory · Physics 2017-01-26 Yan-Gang Miao , Yu-Mei Wu

Neves and Saa introduced a two parameter spacetime that includes the Hayward, Bardeen, and Simpson-Visser geometries as particular cases. In this work, we employ the generalized off-shell Helmholtz free energy method to investigate the…

General Relativity and Quantum Cosmology · Physics 2026-05-22 A. A. M. Silva , M. H. Macedo , R. R. Landim