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In this paper we consider three dimensional BTZ black holes with three models of nonlinear electrodynamics as source. Calculating heat capacity, we study the stability and phase transitions of these black holes. We show that Maxwell,…

General Relativity and Quantum Cosmology · Physics 2017-10-23 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah

In this paper, we study the thermodynamics and phase transition of a BTZ black hole in a finite space region, namely a cavity. By imposing a temperature-fixed boundary condition on the wall of the cavity and evaluating the Euclidean action,…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Yuchen Huang , Jun Tao

We establish a universal thermodynamic topological classification for three-dimensional static neutral Ba\~{n}ados-Teitelboim-Zanelli (BTZ), charged BTZ, and rotating BTZ black holes. We demonstrate that in all three cases (static neutral…

High Energy Physics - Theory · Physics 2025-04-22 Ying Chen , Xiao-Dan Zhu , Di Wu

In this paper, we first extract general uncharged accelerating BTZ black hole solutions and study some of their properties. Our analysis shows that spacetime's asymptotic behavior depends on four parameters: the cosmological constant, mass,…

General Relativity and Quantum Cosmology · Physics 2024-01-11 B. Eslam Panah

Motivated by the wide applications of thermal stability and phase transition, we investigate thermodynamic properties of charged BTZ black holes. We apply the standard method to calculate the heat capacity and the Hessian matrix and find…

General Relativity and Quantum Cosmology · Physics 2015-11-25 S. H. Hendi , S. Panahiyan , R. Mamasani

The thermodynamics of the BTZ black holes are revisited with variable Newton constant. A new pair of conjugated variables, the central charge $C$ and the chemical potential $\mu$, is introduced as thermodynamic variables. The first law of…

General Relativity and Quantum Cosmology · Physics 2022-08-26 Yan-Ying Bai , Xuan-Rui Chen , Zhen-Ming Xu , Bin Wu

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

In this paper, we study different cases of the charged rotating BTZ black hole with reference to their horizons. For the existence of these cases conditions on mass, charge and angular momentum of the black hole are obtained. It is also…

General Relativity and Quantum Cosmology · Physics 2014-11-21 M. Akbar , Azad A. Siddiqui

We study traversable wormholes by considering the duality between BTZ black holes and two-dimensional conformal field theory on the thermofield double state. The BTZ black holes can be rendered traversable by a negative energy shock wave.…

High Energy Physics - Theory · Physics 2019-09-30 Shinji Hirano , Yang Lei , Sam van Leuven

We present the thermodynamics of a charged and rotating BTZ black holes here. In particular, we derive expressions for various macroscopic thermal quantities such as entropy, Hawking temperature, Helmholtz free energy, internal energy,…

General Relativity and Quantum Cosmology · Physics 2022-02-01 Sudhaker Upadhyay , Nadeem-ul-islam , Prince A. Ganai

It is known that traversable wormhole can exist in General Relativity only if its throat contains some exotic matter. In this paper, we obtain $(2+1)$-dimensional (horizonless) charged magnetic brane without (curvature) singularity. Then,…

General Relativity and Quantum Cosmology · Physics 2013-05-13 S. H. Hendi

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

In this work, we present a study to probe the nature of interactions between black hole microstructures for the case of the BTZ black holes. Even though BTZ black holes without any angular momentum or electric charge thermodynamically…

High Energy Physics - Theory · Physics 2020-05-13 Aritra Ghosh , Chandrasekhar Bhamidipati

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

A novel thermodynamic phenomenon has been observed in the quantum Ba\~{n}ados-Teitelboim-Zanelli (qBTZ) black hole, utilizing generalized free energy and Kramer escape rate. This phenomenon also reveals the unique property of the quantum…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Zhen-Ming Xu , Pan-Pan Zhang , Bin Wu , Xing Zhang

We consider the Hawking-Page phase transition between the BTZ black hole of $M \ge 0$ and the thermal soliton of $M=-1$. In this system, there exists a mass gap so that there does not seem to exist a continuous thermodynamic phase…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Myungseok Eune , Wontae Kim , Sang-Heon Yi

We investigate the spacetime properties of BTZ black holes in the presence of the Maxwell field and Born-Infeld field and find rich properties in the spacetime structures when the model parameters are varied. Employing the Landau-Lifshitz…

High Energy Physics - Theory · Physics 2017-06-20 Zi-Yu Tang , Cheng-Yong Zhang , Mahdi Kord Zangeneh , Bin Wang , Joel Saavedra

This paper investigates phantom BTZ black holes within the high-curvature gravity theory framework, specifically using a special case of power-Maxwell theory, which functions as a nonlinear electrodynamics source called F(R)-conformally…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Behzad Eslam Panah , Bilel Hamil , Manuel E. Rodrigues

We study the stability of the BTZ black hole in the new massive gravity. This is a nontrivial task because the linearized equation around the BTZ black hole background is a fourth order differential equation. Away from the critical point of…

High Energy Physics - Theory · Physics 2011-08-12 Yun Soo Myung , Yong-Wan Kim , Taeyoon Moon , Young-Jai Park

This work builds upon the previous article [1] and explores the solution of the charged black string introduced in [2]. The black bounce regularization method, based on the Simpson-Visser solution, is employed by transforming the radial…

General Relativity and Quantum Cosmology · Physics 2023-06-06 A. Lima , G. Alencar , R. N. Costa Filho , R. R. Landim
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