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Related papers: Spectral Functions for BTZ Black Hole Geometry

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We study the quantum scalar fields in background of BTZ black hole spacetime. We calculate the entanglement entropy using the discretized model, which resembles a system of coupled harmonic oscillators. The leading term of the entropy…

High Energy Physics - Theory · Physics 2013-11-12 Dharm Veer Singh , Sanjay Siwach

We study string theory on the extended spacetime of the BTZ black hole, as described by an orbifold of the SL(2,R) WZW model. The full spacetime has an infinite number of disconnected boundary components, each corresponding to a dual CFT.…

High Energy Physics - Theory · Physics 2009-11-07 Samuli Hemming , Esko Keski-Vakkuri , Per Kraus

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

It was shown recently that extended black hole thermodynamics, where the cosmological constant is a dynamical variable, giving rise to a pressure $p$ and its conjugate volume $V$, can be given a natural setting in the context of braneworld…

High Energy Physics - Theory · Physics 2024-11-04 Clifford V. Johnson , Roberto Nazario

In the present work a generalization of the BTZ black hole is studied, for the case of scale dependent couplings. One starts by using the effective action for scale dependence couplings to get a generalization of the Einstein field…

High Energy Physics - Theory · Physics 2017-04-18 Angel Rincon , Benjamin Koch , Ignacio Reyes

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

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

The entropy of a BTZ black hole in the presence of gravitational Chern-Simons terms has previously been analyzed using Euclidean action formalism. In this paper we treat the BTZ solution as a two dimensional black hole by regarding the…

High Energy Physics - Theory · Physics 2009-11-11 Bindusar Sahoo , Ashoke Sen

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

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

Spectral zeta functions $\zeta(s)$ for the massless scalar fields obeying the Dirichlet and Neumann boundary conditions on a surface of an infinite cylinder are constructed. These functions are defined explicitly in a finite domain of the…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , I. G. Pirozhenko

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

In this review, we summarize exact results for the three-dimensional BTZ black hole. We use rigorous mathematical results to clarify the general structure and properties of this black hole spacetime and its microscopic description. In…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Siddhartha Sen

In this paper, we study the Hawking temperature of the BTZ black hole based on the purely topological method proposed by Robson, Villari, and Biancalana (RVB) [Phys. Rev. D 99, 044042 (2019)]. The Hawking temperature of the charged rotating…

General Relativity and Quantum Cosmology · Physics 2022-04-22 Yu-Peng Zhang , Shao-Wen Wei , Yu-Xiao Liu

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

We consider $f(R)$ gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential in $(2+1)$-dimensions. Without specifying the form of the $f(R)$ function, we first obtain an exact black…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

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

The thermal partition functions of photons in any covariant gauge and gravitons in the harmonic gauge, propagating in a Rindler wedge, are computed using a local zeta-function approach. The relation with the surface terms previously…

High Energy Physics - Theory · Physics 2007-05-23 Devis Iellici , Valter Moretti

It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We investigate the limitations on the thermal description of three dimensional BTZ black holes. We derive on physical grounds three basic mass scales that are relevant to characterize these limitations. The Planck mass in 2+1 dimensions…

High Energy Physics - Theory · Physics 2009-11-10 Norman Cruz , Samuel Lepe