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In this work, we obtained the black hole solutions in the expansion f(R)-gravitation (R is not regarded as a constant here), and studied their thermodynamics, especially the phase transition and criticality in anti-de Sitter Behavior (AdS)…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Wen-Xiang Chen , Yao-Guang Zheng

We study the thermodynamics and the thermodynamic geometries of charged rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic…

General Relativity and Quantum Cosmology · Physics 2015-03-17 M. Akbar , H. Quevedo , K. Saifullah , A. Sanchez , S. Taj

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

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

Regarding a special class of pure F(R) gravity in three dimensions, we obtain, analytically, Lifshitz-like black hole solutions. We check the geometrical properties of the solutions which behave such as charged BTZ black holes in special…

General Relativity and Quantum Cosmology · Physics 2020-05-27 S. H. Hendi , R. Ramezani-Arani , E. Rahimi

Regarding a particular class of pure $F(R)$ gravity in three dimensions, we obtain an analytical rotating Lifshitz-like black hole solution. We first investigate some geometrical properties of the obtained solution that reduces to a charged…

High Energy Physics - Theory · Physics 2023-02-16 Kh. Jafarzade , E. Rezaei , S. H. Hendi

In this article, we explore the RN black hole under f(R) gravity and its thermodynamic properties. We begin by examining the small fluctuations around the equilibrium state and summarizing the expression for the modified thermodynamic…

General Physics · Physics 2025-12-01 Wen-Xiang Chen , Yao-Guang Zheng

Some thermodynamic properties of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole are studied to get the effective dimension of its corresponding statistical model. For this purpose, we make use of the geometrical approach to the…

High Energy Physics - Theory · Physics 2009-10-31 Rong-Gen Cai , Jin-Ho Cho

In this paper, we consider three types (static, static charged and rotating charged) of black holes in f(R) gravity. We study the thermodynamical behavior, stability conditions and phase transition of these black holes. It will be shown…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Saheb Soroushfar , Reza Saffari , Negin Kamvar

We explore black hole solutions in the context of Born-Infeld-f(R) gravity, a modified gravitational framework that extends both Born-Infeld and f(R) theories. By adopting a static, spherically symmetric spacetime ansatz, we derive an exact…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Salih Kibaroğlu

We investigate the Ruppeiner geometry of the thermodynamic state space of a general class of BTZ black holes. It is shown that the thermodynamic geometry is flat for both the rotating BTZ and the BTZ Chern Simons black holes in the…

High Energy Physics - Theory · Physics 2010-02-03 Tapobrata Sarkar , Gautam Sengupta , Bhupendra Nath Tiwari

We investigate electrically charged black holes in $(2+1)$ dimensional gravity coupled to nonlinear electrodynamics (NED). The metric function $f(r)$ is depicted, showing that there can be one or two horizons. We study black hole…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Prosenjit Paul , S. I. Kruglov

We investigate the thermodynamics as well as thermodynamic geometry of chargeless BTZ black hole solution in new massive gravity. Phase structure and thermodynamic stability of the system is analyzed using the Geometrothermodynamic…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Jishnu Suresh , V. C. Kuriakose

This paper deals with the thermodynamical properties of black hole formulated in Einstein theory of relativity and associated with a nonlinear electromagnetic field. The transition of the black hole is analyzed using the parameters mass,…

General Relativity and Quantum Cosmology · Physics 2023-05-31 G. Abbas , R. H. Ali

The Ruppeiner metric as determined by the Hessian of the Gibbs surface provides a geometric description of thermodynamic systems in equilibrium. An interesting example is a black hole in equilibrium with its own Hawking radiation. In this…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jan E Aman , James Bedford , Daniel Grumiller , Narit Pidokrajt , John Ward

This study examines a recently hypothesized black hole, which is a perfect solution of metric-affine gravity with a positive cosmological constant, and its thermodynamic features as well as the Joule-Thomson expansion. We develop some…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Muhammad Yasir , Xia Tiecheng , Faisal Javed , G. Mustafa

Thermodynamics of extended gravity static spherically symmetric black hole solutions is investigated. The energy issue is discussed making use of the derivation of Clausius relation from equations of motion, evaluating the black hole…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Guido Cognola , Lorenzo Sebastiani , Sergio Zerbini

BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, three-dimensional gravity could have equipped us for…

High Energy Physics - Theory · Physics 2017-04-26 S. H. Hendi , S. Panahiyan , S. Upadhyay , B. Eslam Panah

Inspired by the BTZ formalism, we discuss the Maxwell-$f(T)$ gravity in (2+1)-dimensions. The main task is to derive exact solutions for a special form of $f(T)=T+\epsilon T^2$, with $T$ being the torsion scalar of…

General Relativity and Quantum Cosmology · Physics 2018-05-23 G. G. L. Nashed , S. Capozziello

As is already known, a spacetime horizon acts like a boundary of a thermal system an we can associate with it notions as temperature and entropy. Following the work of M. Akbar, in this paper we will show how it is possible to interpret the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alexis Larranaga
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