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We study the entropy spectrum of (2+1) BTZ black holes in massive gravity models. We use the formalism proposed by Jiang and Han where black hole property of adiabaticity and the oscillating velocity of the black hole horizon are used to…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Jishnu Suresh , V. C. Kuriakose

We derive a formula for the black hole entropy in theories with gravitational Chern-Simons terms, by generalizing Wald's argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the…

High Energy Physics - Theory · Physics 2008-11-26 Yuji Tachikawa

In this paper, we analyze the double Wick rotation of a rotating BTZ black hole and the entanglement entropy. We derive the transition matrix dual to the double Wick-rotated BTZ black hole, which has the usual shape at an imaginary chemical…

High Energy Physics - Theory · Physics 2026-04-20 Huayu Dai , Xi-Hao Fang , Mitsutoshi Fujita , Song He

It is shown that Chern-Simons gravities in $2n+1$ dimensions admit solutions described by the same lapse function which describes the BTZ black hole in the $n=1$ case. This has been carried out explicitly for $n=1,2,3$. Moreover, it is seen…

General Relativity and Quantum Cosmology · Physics 2020-04-15 D. H. Tchrakian

We compute the statistical entropy of a BTZ black hole in the context of three-dimensional Euclidean loop quantum gravity with a cosmological constant $\Lambda$. As in the four-dimensional case, a quantum state of the black hole is…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ernesto Frodden , Marc Geiller , Karim Noui , Alejandro Perez

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

We study classical solutions of three dimensional higher spin gravity in the Chern-Simons formulation. We find solutions that generalize the BTZ black hole and carry spin-3 charge. The black hole entropy formula yields a result for the…

High Energy Physics - Theory · Physics 2015-05-27 Michael Gutperle , Per Kraus

In this paper the BTZ black hole geometry is probed with a noncommutative scalar field which obeys the $\kappa$-Minkowski algebra. The entropy of the BTZ black hole is calculated using the brick wall method. The contribution of the…

High Energy Physics - Theory · Physics 2014-10-20 Kumar S. Gupta , E. Harikumar , Tajron Juric , Stjepan Meljanac , Andjelo Samsarov

The BTZ black hole is geometrically finite. This means that its three dimensional hyperbolic structure as encoded in its metric is in 1-1 correspondence with the Teichmuller space of its boundary, which is a two torus. The equivalence of…

High Energy Physics - Theory · Physics 2009-11-11 Kumar S. Gupta , Siddhartha Sen

We construct and discuss solutions of SO(1,2) x SO(1,2) Chern-Simons theory which correspond to multiple BTZ black holes. These solutions typically have additional singularities, the simplest cases being special conical singularities with a…

High Energy Physics - Theory · Physics 2009-10-31 Teresia Mansson , Bo Sundborg

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 BTZ stationary black hole solution is considered and its mass and angular momentum are calculated by means of Noether theorem. In particular, relative conserved quantities with respect to a suitably fixed background are discussed.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Fatibene , M. Ferraris , M. Francaviglia , M. Raiteri

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

A detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity. The system is shown to admit a manifestly SU(2) invariant formulation where the (effective)…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

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

We obtain an exact analytic expression for the quasinormal modes of a noncommutative massless scalar field in the background of a massive spinless BTZ black hole up to the first order in the deformation parameter. We also show that the…

High Energy Physics - Theory · Physics 2015-10-29 Kumar S. Gupta , E. Harikumar , Tajron Jurić , Stjepan Meljanac , Andjelo Samsarov

Quantum gravity in 2+1 dimensions with a positive cosmological constant can be represented as an SL(2,C) Chern-Simons gauge theory. The symmetric vacuum of this theory is a degenerate configuration for which the gauge fields and spacetime…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Juan M. Maldacena , Andrew Strominger

Black holes in 2+1 dimensions enjoy long range topological interactions similar to those of non-abelian anyon excitations in a topologically ordered medium. Using this observation, we compute the topological entanglement entropy of BTZ…

High Energy Physics - Theory · Physics 2015-06-16 Lauren McGough , Herman Verlinde

We construct black hole solutions to three-dimensional Einstein-Maxwell theory with both gravitational and electromagnetic Chern-Simons terms. These intrinsically rotating solutions are geodesically complete, and causally regular within a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Ait Moussa , G. Clement , H. Guennoune , C. Leygnac

The study of BTZ blackhole physics and the cosmological horizon of 3D de Sitter spaces are carried out in unified way using the connections to the Chern Simons theory on three manifolds with boundary. The relations to CFT on the boundary is…

High Energy Physics - Theory · Physics 2009-11-10 T R Govindarajan