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We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-07-10 Chikun Ding , Yu Shi , Jun Chen , Yuebing Zhou , Changqing Liu , Yuehua Xiao

Gravitational analyzes in lower dimensions has become a field of active research interest ever since Banados, Teitelboim and Zanelli (BTZ) (Phys. Rev. Lett. 69, 1849, 1992) proved the existence of a black hole solution in (2 + 1)…

General Relativity and Quantum Cosmology · Physics 2014-12-11 Ayan Banerjee , Farook Rahaman , Kanti Jotania , Ranjan Sharma , Mosiur Rahaman

We analyze certain aspects of BTZ black holes in massive theory of gravity. The black hole solution is obtained by using the Vainshtein and dRGT mechanism, which is asymptotically AdS with an electric charge. We study the Hawking radiation…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Sumeet Chougule , Sanjib Dey , Behnam Pourhassan , Mir Faizal

In the framework of thermal quantization of radial geodesics completely confined behind the horizons we calculate the entropy of BTZ black hole in agreement with the Bekenstein--Hawking relation. Particles in the BTZ black hole occupy the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. V. Kiselev

We construct an action, which governs the dynamics of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole and perform the canonical quantization. The quantum action is given by a $SL(2,R)$ Wess-Zumino-Witten model on the boundary coupled to…

High Energy Physics - Theory · Physics 2007-05-23 Taejin Lee

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

Based on the equivalence between the three dimensional gravity and the Chern-Simons theory, we obtain a noncommutative BTZ black hole solution as a solution of $U(1,1)\times U(1,1)$ noncommutative Chern-Simons theory using the…

High Energy Physics - Theory · Physics 2009-09-28 Ee Chang-Young , Daeho Lee , Youngone Lee

Black holes exactly incorporating quantum matter backreaction effects, namely, quantum black holes, are notoriously difficult to construct, let alone study their horizon thermodynamics. Here, we derive the thermodynamics of…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Yuanfan Cao , Andrew Svesko

The observation that the 2+1 dimensional BTZ black hole can be obtained as a quotient space of anti-de Sitter space leads one to ask what causal behaviour other such quotient spaces can display. In this paper we answer this question in 2+1…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Soren Holst , Peter Peldan

A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Stefan Aminneborg , Ingemar Bengtsson , Dieter Brill , Soren Holst , Peter Peldan

In this paper, we systematically study three classes of three-dimensional Ba\~nados-Teitelboim-Zanelli (BTZ) black holes based on different gravitational frameworks and matter field structures: the Einstein-Maxwell BTZ, the F(R)-Maxwell…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Yu-Die Wan , Peng Zhao , Meng-Yao Zhang , Zheng-Wen Long

The regular black hole solution arising as a spherically symmetric vacuum solution of Born-Infeld gravity possesses an asymptotic interior structure which is very well described by a four dimensional generalization of the non-rotating BTZ…

High Energy Physics - Theory · Physics 2020-08-14 Christian G. Boehmer , Franco Fiorini

In a recent publication we developed a canonical quantization program describing the gravitational collapse of a spherical dust cloud in 2+1 dimensions with a negative cosmological constant $-\Lambda\equiv -l^{-2}<0$. In this paper we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Cenalo Vaz , Sashideep Gutti , Claus Kiefer , T. P. Singh , L. C. R. Wijewardhana

Noncommutative geometry is an established potential candidate for including quantum phenomena in gravitation. We outline the formalism of Hopf algebras and its connection to the algebra of infinitesimal diffeomorphisms. Using a Drinfeld…

High Energy Physics - Theory · Physics 2023-03-15 Tajron Jurić , Filip Požar

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

Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as…

High Energy Physics - Theory · Physics 2016-05-09 S. H. Hendi , B. Eslam Panah , S. Panahiyan

We report a 3D charged black hole solution in an anti desetter space inspired by noncommutative geometry.In this construction,the black hole exhibits two horizon which turn into a single horizon in the extreme case.We investigate the…

General Physics · Physics 2015-03-20 Farook Rahaman , Piyali Bhar , Ranjan Sharma , Rishi Kumar Tiwari

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

(2+1)-regular static black hole solutions with a nonlinear electric field are derived. The source to the Einstein equations is an energy momentum tensor of nonlinear electrodynamics, which satisfies the weak energy conditions and in the…

High Energy Physics - Theory · Physics 2009-10-31 Mauricio Cataldo , Alberto Garcia

We derive the metric of the BTZ black hole for the special case of interchanging the characteristics of space and time coordinates. We maximally extend the geometry of this interior solution and show that the line element is similar to its…

General Relativity and Quantum Cosmology · Physics 2025-08-22 Ovidiu Racorean