Area spectrum of the three-dimensional Gödel black hole

We have studied perturbations of scalar and spinor field in the background of three-dimensional Gödel black hole. The wave equations are shown to be exactly solvable in terms of hypergeometric functions. The quasinormal modes are analytically calculated by imposing the Dirichlet boundary condition at spatial infinity, which are shown to be of the same form in both cases. By considering the physical interpretation of quasinormal modes, we obtain the consistent transition frequencies from the quasinormal modes of scalar and spinor field. As an application of quasinormal modes, we have also investigated the area and entropy quantization of three-dimensional Gödel black hole. By choosing the conserved mass of Gödel black hole properly, the entropy spectrum are shown to be equally-spaced.

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AREA SPECTRUM OF BTZ BLACK HOLES FROM THE PERIODICITY IN EUCLIDEAN TIME

International Journal of Modern Physics D ◽

10.1142/s021827181250068x ◽

2012 ◽

Vol 21 (08) ◽

pp. 1250068 ◽

Cited By ~ 4

Author(s):

ALEXIS LARRAÑAGA

Keyword(s):

Black Holes ◽

Black Hole ◽

Angular Momentum ◽

Three Dimensional ◽

Outgoing Wave ◽

Area Spectrum ◽

Gravitational System ◽

Euclidean Time ◽

Rotating Black Holes ◽

Area Spectra

In this paper, we analyze the area spectrum of BTZ three-dimensional black holes by considering an outgoing wave and relating its period of motion with the period of the gravitational system with respect to Euclidean time. The area spectra obtained for the rotating and non-rotating black holes are equally spaced and it is important to note that in this paper, we do not need to use the small angular momentum assumption which is necessary in the quasinormal mode approach for rotating black holes. The results suggest that the periodicity of the black hole gravitational system may be the origin of area quantization.

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Holographic description of three-dimensional Gödel black hole

Physical Review D ◽

10.1103/physrevd.85.065020 ◽

2012 ◽

Vol 85 (6) ◽

Cited By ~ 5

Author(s):

Ran Li

Keyword(s):

Black Hole ◽

Three Dimensional ◽

Gödel Black Hole ◽

Holographic Description

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Hawking radiation and propagation of massive charged scalar field on a three-dimensional Gödel black hole

General Relativity and Gravitation ◽

10.1007/s10714-018-2389-x ◽

2018 ◽

Vol 50 (6) ◽

Cited By ~ 13

Author(s):

P. A. González ◽

Ali Övgün ◽

Joel Saavedra ◽

Yerko Vásquez

Keyword(s):

Black Hole ◽

Scalar Field ◽

Hawking Radiation ◽

Three Dimensional ◽

Charged Scalar ◽

Charged Scalar Field ◽

Gödel Black Hole

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Holographic Brownian Motion in Three-Dimensional Gödel Black Hole

Advances in High Energy Physics ◽

10.1155/2014/762151 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9 ◽

Cited By ~ 2

Author(s):

J. Sadeghi ◽

F. Pourasadollah ◽

H. Vaez

Keyword(s):

Black Hole ◽

Brownian Motion ◽

Angular Velocity ◽

Heavy Quark ◽

Brownian Particle ◽

Three Dimensional ◽

Btz Black Hole ◽

Relativistic Limit ◽

Black Hole Background ◽

Gödel Black Hole

By using the AdS/CFT correspondence and Gödel black hole background, we study the dynamics of heavy quark under a rotating plasma. In that case we follow Atmaja (2013) about Brownian motion in BTZ black hole. In this paper we receive some new results for the case ofα2l2≠1. In this case, we must redefine the angular velocity of string fluctuation. We obtain the time evolution of displacement square and angular velocity and show that it behaves as a Brownian particle in non relativistic limit. In this plasma, it seems that relating the Brownian motion to physical observables is rather a difficult work. But our results match with Atmaja work in the limitα2l2→1.

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