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Thermodynamics of the BTZ black hole in noncommutative geometry is studied. We work out the Hawking temperature and entropy which reduce to their commutative limits when the noncommutativity parameter tends to zero. We also discuss the…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Rashida Jahangir , K. Saifullah

We study the thermodynamics of black holes in the framework of non-commutative geometry, where spacetime fuzziness is modelled by smeared Lorentzian distributions. Corrected black hole solutions with this quantum fuzziness are obtained, and…

High Energy Physics - Theory · Physics 2025-09-30 Ankit Anand , Anshul Mishra , Aditya Singh

We analyze the effects of noncommutativity on phantom Reissner-Nordstr\"om-Anti-de Sitter black holes by modeling mass and charge distributions with Lorentzian profiles. The modified metric function exhibits significant deviations from the…

High Energy Physics - Theory · Physics 2025-03-20 B. Hamil , B. C. Lütfüoğlu

The aim of this paper is to study the thermodynamics variables of non-rotating BTZ black hole in 2+1 dimensional using two models; one of them is the quantum hydrogen atom model, and the other is the Collapsed Shell Model. We calculate the…

High Energy Physics - Theory · Physics 2018-04-09 N. A. Hussein , D. A. Eisa , T. A. S. Ibrahim

This study investigates the thermodynamics of phantom BTZ black holes by incorporating leading-order perturbative corrections arising from small statistical fluctuations around equilibrium. Starting from the phantom BTZ black holes review,…

High Energy Physics - Theory · Physics 2025-08-26 Kumar Sambhav Upadhyay , Sudhaker Upadhyay , Bhabani Prasad Mandal

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

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

We have studied the charged BTZ black holes in noncommutative spaces arising from two independent approaches. First, by using the Seiberg-Witten map followed by a dynamic choice of gauge in the Chern-Simons gauge theory. Second, by inducing…

High Energy Physics - Theory · Physics 2021-05-31 Ankur , Sanjib Dey

In this work we study thermodynamics of 2+1-dimensional static black holes with a nonlinear electric field. Besides employing the standard thermodynamic approach, we investigate the black hole thermodynamics by studying its thermodynamic…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Mauricio Cataldo , P. A. González , Joel Saavedra , Yerko Vázquez , Bin Wang

In this paper, we discuss the effect of small statistical thermal fluctuations around the equilibrium on the thermodynamics of small non-rotating BTZ black hole. This is done by evaluating the leading-order corrections to the…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Nadeem-ul-islam , Prince A. Ganai , Sudhaker Upadhyay

One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potential function of the corresponding quantum cosmology problem…

General Relativity and Quantum Cosmology · Physics 2015-05-20 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

This paper considers the effects of space noncommutativity on the thermodynamics of a Reissner-Nordstr\"{o}m black hole. In the first step, we extend the ordinary formalism of Bekenstein-Hawking to the case of charged black holes in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Behnaz Fazlpour

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

In this paper, we examine the effects of space noncommutativity on the thermodynamics of a Bardeen charged regular black hole. For a suitable choice of sets of parameters, the behavior of the singularity, horizon, mass function, black hole…

General Relativity and Quantum Cosmology · Physics 2015-05-30 M. Sharif , Wajiha Javed

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 tested the thermodynamic properties of charged BTZ-type black holes (BHs) in the framework of Bopp Podolsky electrodynamics, a higher derivative extension of Maxwells theory that preserves gauge invariance while introducing a massive…

General Relativity and Quantum Cosmology · Physics 2025-07-17 Allan. R. P. Moreira , Abdelmalek Bouzenada , Guo-Hua Sun , Shi-Hai Dong

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 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 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

In this paper we study noncommutative black holes. We use a diffeomorphism between the Schwarzschild black hole and the Kantowski-Sachs cosmological model, which is generalized to noncommutative minisuperspace. Through the use of the…

High Energy Physics - Theory · Physics 2009-11-11 J. C. Lopez-Dominguez , O. Obregon , C. Ramirez , M. Sabido
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