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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

Due to the asymptotic structure of the black hole solution, there are two different thermodynamic schemes for the charged Banados-Teitelboim-Zanelli (BTZ) black hole. In one scheme, the charged BTZ black hole is super-entropic, while in the…

General Relativity and Quantum Cosmology · Physics 2020-10-30 Zhen-Ming Xu , Bin Wu , Wen-Li Yang

We investigate thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions, namely higher-dimensional charged black holes in which the electromagnetic sector exhibits the same properties with that of the usual…

High Energy Physics - Theory · Physics 2023-11-06 Ali Dehghani , Behnam Pourhassan , Soodeh Zarepour , Emmanuel N. Saridakis

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

Although all popular approaches to quantum gravity are able to recover the Bekenstein-Hawking entropy-area law in the thermodynamic limit, there are significant differences in their descriptions of the microstates and in the application of…

High Energy Physics - Theory · Physics 2010-02-19 Cenalo Vaz , L. C. R. Wijewardhana

An exotic Banados-Teitelboim-Zanelli (BTZ) black hole has an angular momentum larger than its mass in three dimension (3D), which suggests the possibility that cosmic censorship could be violated if angular momentum is extracted by the…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Baocheng Zhang

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

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

Among the study of black hole thermodynamics, topology offers a novel approach and perspective for classifying black hole systems. In this work, we explore the thermodynamical topology of the quantum BTZ black hole by employing the concept…

General Relativity and Quantum Cosmology · Physics 2024-12-05 Shan-Ping Wu , Shao-Wen Wei

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 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

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

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

The thermodynamic properties of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole endowed with Korteweg-de Vries (KdV)-type boundary conditions are considered. This familiy of boundary conditions for General Relativity on AdS$_{3}$ is…

High Energy Physics - Theory · Physics 2020-01-08 Cristián Erices , Miguel Riquelme , Pablo Rodríguez

Using a thin shell, the first law of thermodynamics, and a unified approach, we study the thermodymanics and find the entropy of a (2+1)-dimensional extremal rotating Ba\~{n}ados-Teitelbom-Zanelli (BTZ) black hole. The shell in (2+1)…

High Energy Physics - Theory · Physics 2017-11-08 José P. S. Lemos , Masato Minamitsuji , Oleg B. Zaslavskii

Motivated by many worthwhile paper about (2 + 1)-dimensional BTZ black holes, we generalize them to to (n + 1)-dimensional solutions, so called BTZ-like solutions. We show that the electric field of BTZ-like solutions is the same as (2 +…

General Relativity and Quantum Cosmology · Physics 2011-03-03 S. H. Hendi

In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is constructed from an exact solution of the Einstein field equations in a (2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative geometry. The BTZ black…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Farook Rahaman , P. K. F. Kuhfittig , B. C. Bhui , Masiur Rahaman , Saibal Ray , U. F. Mondal

The connection between black hole thermodynamics and chemistry is extended to the lower-dimensional regime by considering the rotating and charged BTZ metric in the $(2+1)$-D and a $(1+1)$-D limits of Einstein gravity. The Smarr relation is…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Antonia M. Frassino , Robert B. Mann , Jonas R. Mureika

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

The well-known $(2+1)$-dimensional Reissner-Nordstrom (BTZ) black hole can be generalized to three dimensional Einstein-nonlinear electromagnetic field, motivated from obtaining a finite value for the self-energy of a pointlike charge.…

High Energy Physics - Theory · Physics 2014-05-21 S. H. Hendi
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