scholarly journals Quantum BTZ black hole

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Roberto Emparan ◽  
Antonia Micol Frassino ◽  
Benson Way
Keyword(s):  
Black Hole ◽  
Stress Tensor ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Btz Black Hole ◽  
Dimensional Solution ◽  
Quantum Black Hole ◽  
Strongly Coupled ◽  
Conformal Fields

Abstract We study a holographic construction of quantum rotating BTZ black holes that incorporates the exact backreaction from strongly coupled quantum conformal fields. It is based on an exact four-dimensional solution for a black hole localized on a brane in AdS4, first discussed some years ago but never fully investigated in this manner. Besides quantum CFT effects and their backreaction, we also investigate the role of higher-curvature corrections in the effective three-dimensional theory. We obtain the quantum-corrected geometry and the renormalized stress tensor. We show that the quantum black hole entropy, which includes the entanglement of the fields outside the horizon, satisfies the first law of thermodynamics exactly, even in the presence of backreaction and with higher-curvature corrections, while the Bekenstein-Hawking-Wald entropy does not. This result, which involves a rather non-trivial bulk calculation, shows the consistency of the holographic interpretation of braneworlds. We compare our renormalized stress tensor to results derived for free conformal fields, and for a previous holographic construction without backreaction effects, which is shown to be a limit of the solutions in this article.

scholarly journals BTZ BLACK HOLE ENTROPY FROM PONZANO–REGGE GRAVITY

1999 ◽  
Vol 14 (05) ◽  
pp. 349-358 ◽  
Author(s):  
V. SUNEETA ◽  
R. K. KAUL ◽  
T. R. GOVINDARAJAN
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Btz Black Hole ◽  
Dimensional Lattice ◽  
Maximum Contribution ◽  
Lattice Gravity

The entropy of the BTZ black hole is computed in the Ponzano–Regge formulation of three-dimensional lattice gravity. It is seen that the correct semiclassical behavior of entropy is reproduced by states which correspond to all possible triangulations of the Euclidean black hole. The maximum contribution to the entropy comes from states at the horizon.

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 Quantum black hole entropy and Newton constant renormalization

1995 ◽  
Vol 52 (8) ◽  
pp. 4527-4539 ◽  
Author(s):  
J. L. F. Barbón ◽  
R. Emparan
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum 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.

scholarly journals Hairy black hole entropy and the role of solitons in three dimensions

2012 ◽  
Vol 2012 (2) ◽  
Author(s):  
Francisco Correa ◽  
Cristián Martínez ◽  
Ricardo Troncoso
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Three Dimensions ◽  
Hairy 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 THERMODYNAMICS OF BLACK HOLE IN (N+3) DIMENSIONS FROM EUCLIDEAN N-BRANE THEORY

1995 ◽  
Vol 10 (36) ◽  
pp. 2775-2782 ◽  
Author(s):  
ICHIRO ODA
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Particle Model ◽  
Field Equations ◽  
3 Dimensional ◽  
The Past ◽  
Dimensional Black Hole ◽  
Brane Theory

In this letter we consider an N-brane description of an (N+3)-dimensional black hole horizon. First of all, we start by examining in more detail a previous work where a string theory is used in describing the dynamics of the event horizon of a four-dimensional black hole. This is an attempt to understand the black hole thermodynamics by an effective two-dimensional field theory of the event horizon of a black hole. Then we consider a particle model defined on one-dimensional Euclidean line in a three-dimensional black hole as a target spacetime metric. By solving the field equations we find a “worldline instanton” which connects the past event horizon with the future one. This solution gives us the exact value of the Hawking temperature and to leading order the Bekenstein-Hawking formula of black hole entropy. We also show that this formalism is extensible to an arbitrary spacetime dimension. Finally we make a comment of many recent works of one-loop quantum correction to the black hole entropy.

scholarly journals Power law corrections to BTZ black hole entropy

2014 ◽  
Vol 24 (01) ◽  
pp. 1550001 ◽  
Author(s):  
Dharm Veer Singh
Keyword(s):  
Black Hole ◽  
Excited State ◽  
Power Law ◽  
Ground State ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Mixed States ◽  
Btz Black Hole ◽  
First Excited State ◽  
Area Law

We study the quantum scalar field in the background of BTZ black hole and evaluate the entanglement entropy of the nonvacuum states. The entropy is proportional to the area of event horizon for the ground state, but the area law is violated in the case of nonvacuum states (first excited state and mixed states) and the corrections scale as power law.

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