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We investigate the first law of thermodynamics in the case of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes, in particular, we focus on the integral mass formulas. It is found that by assuming the cosmological constant…

High Energy Physics - Theory · Physics 2007-05-23 Wang Shuang , Wu Shuang-Qing , Xie Fei , Dan Lin

We review recent studies of contact and thermodynamic geometry for black holes in AdS spacetimes in the extended thermodynamics framework. The cosmological constant gives rise to the notion of pressure $P = -\Lambda / 8 \pi$ and,…

General Relativity and Quantum Cosmology · Physics 2023-02-10 Aritra Ghosh , Chandrasekhar Bhamidipati

As we know that due to the quantum gravitational effects black hole horizons are ``fractalized'' into a sphereflake by Barrow. Based on this issue, in this work we investigate the phase structure and stability of the…

High Energy Physics - Theory · Physics 2025-05-23 Yun-Zhi Du , Hui-Hua Zhao , Yang Zhang , Qiang Gu

The gravitational Stefan-Boltzmann law is considered for the Kerr black hole in the weak-field limit. The energy-momentum tensor predicted by Teleparallelism Equivalent to General Relativity (TEGR) is used in the Thermo Field Dynamics (TFD)…

General Relativity and Quantum Cosmology · Physics 2023-06-06 S. C. Ulhoa , A. F. Santos , E. P. Spaniol , Faqir C. Khanna

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

In this paper we study the first law of thermodynamics for the (2+1) dimensional charged BTZ black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Alexis Larranaga

The geodesic structure and thermal properties of Gaussian Black Holes (\textbf{GBH})s in modified and Einstein gravities are studied and compared. In the geodesic part, motion of a test particle (massive and massless) are discussed,…

General Relativity and Quantum Cosmology · Physics 2026-05-14 M. Haditale , B. Malekolkalami

Black holes pose great difficulties for theory since gravity and quantum theory must be combined in some as yet unknown way. An additional difficulty is that detailed black hole observational data to guide theorists is lacking. In this…

General Relativity and Quantum Cosmology · Physics 2018-08-22 George Ruppeiner

We generalize the solution to the Euler-Heisenberg (EH) theory coupled to gravity that represents a nonlinearly charged static black hole (BH) introducing the cosmological constant; the obtained solution is characterized by four parameters:…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Daniela Magos , Nora Bretón

Einstein's gravity in AdS space coupled to nonlinear electrodynamics (NED) with two parameters is studied. We investigate magnetically charged black holes. The metric and mass functions and their asymptotic are obtained showing that black…

General Physics · Physics 2024-07-23 S. I. Kruglov

We study the properties of the space of thermodynamic equilibrium states of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole in (2+1)-gravity. We use the formalism of geometrothermodynamics to introduce in the space of equilibrium states a…

General Relativity and Quantum Cosmology · Physics 2009-01-21 Hernando Quevedo , Alberto Sanchez

We perform a thorough study of the thermodynamic properties of a class of Lovelock black holes with conformal scalar hair arising from coupling of a real scalar field to the dimensionally extended Euler densities. We study the linearized…

High Energy Physics - Theory · Physics 2017-02-22 Robie A. Hennigar , Erickson Tjoa , Robert B. Mann

We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz gravity. In particular, we show that a Legendre invariant metric derived in the context of…

High Energy Physics - Theory · Physics 2015-05-27 Hernando Quevedo , Alberto Sanchez , Safia Taj , Alejandro Vazquez

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

Using geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where…

General Relativity and Quantum Cosmology · Physics 2017-02-03 Rabin Banerjee , Bibhas Ranjan Majhi , Saurav Samanta

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

In this paper, we consider the Einstein-massive gravity coupled to the Yang-Mills gauge field in five dimensions. Concentrating on the static solutions with planar horizon geometry, we explore the thermodynamic behavior in the extended…

High Energy Physics - Theory · Physics 2020-04-13 S. H. Hendi , A. Nemati

Motivated by high interest in Lorentz invariant massive gravity models known as dRGT massive gravity, we present an exact phantom black hole solution in this theory of gravity and discuss the thermodynamic structure of the black hole in the…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Kh. Jafarzade , B. Eslam Panah , M. E. Rodrigues

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

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