Periodicity and area spectrum of the three dimensional BTZ black hole

2012 ◽  
Vol 44 (11) ◽  
pp. 2865-2872 ◽  
Author(s):  
Hui-Ling Li ◽  
Rong Lin ◽  
Li-Ying Cheng
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Area Spectrum ◽  
Btz Black Hole

scholarly journals Generalized uncertainty principle and entropy of three-dimensional BTZ black hole

2009 ◽  
Vol 58 (4) ◽  
pp. 2193
Author(s):  
Zhao Ren ◽  
Li Huai-Fan ◽  
Zhang Li-Chun
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Three Dimensional ◽  
Btz Black Hole

Chiral modular bootstrap

2019 ◽  
Vol 34 (28) ◽  
pp. 1950168 ◽  
Author(s):  
M. Ashrafi
Keyword(s):  
Black Hole ◽  
Upper Bound ◽  
Three Dimensional ◽  
Conformal Weight ◽  
Two Dimensional ◽  
Btz Black Hole ◽  
Conformal Field ◽  
Dimensional Gravity ◽  
Large Spin ◽  
Dimension Ratio

Using modular bootstrap we show the lightest primary fields of a unitary compact two-dimensional conformal field theory (with [Formula: see text], [Formula: see text]) has a conformal weight [Formula: see text]. This implies that the upper bound on the dimension of the lightest primary fields depends on their spin. In particular if the set of lightest primary fields includes extremal or near extremal states whose spin to dimension ratio [Formula: see text], the corresponding dimension is [Formula: see text]. From AdS/CFT correspondence, we obtain an upper bound on the spectrum of black hole in three-dimensional gravity. Our results show that if the first primary fields have large spin, the corresponding three-dimensional gravity has extremal or near extremal BTZ black hole.

A Zeta Function for the BTZ Black Hole

2003 ◽  
Vol 18 (12) ◽  
pp. 2205-2209 ◽  
Author(s):  
F. L. Williams
Keyword(s):  
Black Hole ◽  
Zeta Function ◽  
Three Dimensional ◽  
Thermodynamic Quantities ◽  
Btz Black Hole ◽  
Special Values

For the three-dimensional BTZ black hole we consider a Selberg type zeta function. We indicate how special values of its logarithm correspond to certain thermodynamic quantities associated with the black hole.

scholarly journals Page curve for entanglement negativity through geometric evaporation

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Jaydeep Kumar Basak ◽  
Debarshi Basu ◽  
Vinay Malvimat ◽  
Himanshu Parihar ◽  
Gautam Sengupta
Keyword(s):  
Black Hole ◽  
Random Matrix Theory ◽  
Random Matrix ◽  
Mixed State ◽  
Dimensional Reduction ◽  
Matrix Theory ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Btz Black Hole ◽  
Diagrammatic Technique

We compute the entanglement negativity for various pure and mixed state configurations in a bath coupled to an evaporating two dimensional non-extremal Jackiw-Teitelboim (JT) black hole obtained through the partial dimensional reduction of a three dimensional BTZ black hole. Our results exactly reproduce the analogues of the Page curve for the entanglement negativity which were recently determined through diagrammatic technique developed in the context of random matrix theory.

Area spectrum from quasinormal modes of a Lifshitz black hole in 2+1 dimensions

2015 ◽  
Vol 30 (13) ◽  
pp. 1550078 ◽  
Author(s):  
Sharmanthie Fernando
Keyword(s):  
Black Hole ◽  
Mass Spectrum ◽  
Scalar Field ◽  
Quasinormal Modes ◽  
Area Spectrum ◽  
Conformal Gravity ◽  
Btz Black Hole ◽  
The Future ◽  
Lifshitz Black Hole

In this paper, we have studied the area and mass spectrum of a Lifshitz black hole in 2+1 dimensions. This black hole is obtained for conformal gravity in 2+1 dimensions and is asymptotic to z = 0 Lifshitz spacetime. Quasinormal modes (QNM) frequencies of the conformally coupled scalar field perturbations are employed for the purpose of analyzing the area spectrum of the black hole. We have used two methods: modified Hod's conjecture and Kunsttater's method. In both methods, the area and the mass spectrum is shown to be equally spaced. We compared our results with the area spectrum of the BTZ black hole and the z = 3 black hole and made suggestions to extend this work in the future.

scholarly journals UNITARITY ISSUE IN BTZ BLACK HOLES

2006 ◽  
Vol 21 (22) ◽  
pp. 1737-1748 ◽  
Author(s):  
Y. S. MYUNG ◽  
H. W. LEE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Wave Equation ◽  
Three Dimensional ◽  
Btz Black Hole ◽  
Unitary Evolution ◽  
Potential Analysis ◽  
Black Hole Spacetimes ◽  
Ads Spacetime ◽  
Extremal Black Holes

We study the wave equation for a massive scalar in three-dimensional AdS-black hole spacetimes to understand the unitarity issues in a semiclassical way. Here we introduce four interesting spacetimes: the non-rotating BTZ black hole (NBTZ), pure AdS spacetime (PADS), massless BTZ black hole (MBTZ), and extremal BTZ black hole (EBTZ). Our method is based on the potential analysis and solving the wave equation to find the condition for the frequency ω exactly. In the NBTZ case, one finds the quasinormal (complex and discrete) modes which signals for a non-unitary evolution. Real and discrete modes are found for the PADS case, which means that it is unitary obviously. On the other hand, we find real and continuous modes for the two extremal black holes of MBTZ and EBTZ. It suggests that these could be candidates for the unitary system.

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

2012 ◽  
Vol 21 (08) ◽  
pp. 1250068 ◽  
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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