scholarly journals What we don't know about BTZ black hole entropy

1998 ◽  
Vol 15 (11) ◽  
pp. 3609-3625 ◽  
Author(s):  
S Carlip
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Btz Black Hole

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.

scholarly journals A Study on the logarithm correction of black hole entropy

2021 ◽  
Vol 2083 (2) ◽  
pp. 022042
Author(s):  
Chengyu Liu ◽  
Minxing Wang ◽  
Guanxing Yi ◽  
Yi Zhuang
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Conformal Field Theory ◽  
General Expression ◽  
Correction Term ◽  
Black Hole Entropy ◽  
Thermal Method ◽  
Btz Black Hole ◽  
Conformal Field ◽  
Loop Gravity

Abstract The logarithm correction of black hole entropy is important in understanding the essence of black hole entropy, providing a more accurate entropy calculation. We reviewed the mainstream method of logarithm correction of black hole entropy, including quantum loop gravity correction, conformal field theory correction, and classical thermal correction. Specifically, the correction of quantum loop gravity presents a stable general expression of logarithm correction, which only depends on the surface area of the black hole and solves the problem of meaningless entropy solution under a large length scale. Besides, the correction of the Cardy formula of conformal field theory is limited for the third term in depends on the mass of the black hole, which will finally lead to the unstable coefficient before the correction term. Finally, the correction deduced by the classical thermal method also gives a general expression of black hole entropy. In contrast, the entropy of BTZ black hole has a different coefficient before the logarithm term comparing to other kinds of the black hole. These results shed light for the research in general logarithm correction of black hole entropy, which is suitable for all kinds of black holes.

scholarly journals Effects of Noncommutativity on the Black Hole Entropy

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Kumar S. Gupta ◽  
E. Harikumar ◽  
Tajron Jurić ◽  
Stjepan Meljanac ◽  
Andjelo Samsarov
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Deformation Parameter ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Btz Black Hole ◽  
First Order ◽  
Hole Geometry ◽  
Wall Method

The BTZ black hole geometry is probed with a noncommutative scalar field which obeys theκ-Minkowski algebra. The entropy of the BTZ black hole is calculated using the brick wall method. The contribution of the noncommutativity to the black hole entropy is explicitly evaluated up to the first order in the deformation parameter. We also argue that such a correction to the black hole entropy can be interpreted as arising from the renormalization of the Newton’s constant due to the effects of the noncommutativity.

scholarly journals Hawking radiation from z = 3 and z = 1-Lifshitz black holes

2014 ◽  
Vol 29 (34) ◽  
pp. 1450187
Author(s):  
Samuel Lepe ◽  
Bruno Merello
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Black Hole Entropy ◽  
Tunneling Rate ◽  
Btz Black Hole ◽  
Tunneling Process ◽  
Lifshitz Black Holes ◽  
Lifshitz Black Hole

The Hawking radiation considered as a tunneling process, by using a Hamilton–Jacobi prescription, is discussed for both z = 3 and z = 1-Lifshitz black holes. We have found that the tunneling rate (which is not thermal but related to the change of entropy) for the z = 3-Lifshitz black hole (which does not satisfy the Area/4-law) does not yield (give us) the expected tunneling rate: Γ~ exp (ΔS), where ΔS is the change of black hole entropy, if we compare with the z = 1-Lifshitz black hole (BTZ black hole, which satisfies the Area/4-law).

scholarly journals BTZ black hole entropy from a Chern–Simons matrix model

2013 ◽  
Vol 30 (23) ◽  
pp. 235016 ◽  
Author(s):  
A Chaney ◽  
Lei Lu ◽  
A Stern
Keyword(s):  
Black Hole ◽  
Matrix Model ◽  
Black Hole Entropy ◽  
Btz Black Hole ◽  
Chern Simons

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.

Entropy relations and bounds of BTZ black hole in gravity's rainbow

2019 ◽  
Vol 28 (08) ◽  
pp. 1950109
Author(s):  
Tairan Liang ◽  
Wei Tang ◽  
Wei Xu
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Cauchy Horizon ◽  
Btz Black Hole ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Entropy Product ◽  
Entropy Bound ◽  
Entropy Bounds ◽  
Mass Dependent

In this paper, we present the entropy relations and bounds of Banados–Teitelboim–Zanelli (BTZ) black hole in two models of gravity's rainbow. Because of the effect of gravity's rainbow, one can find that the entropy product and sum both lost their universality and become mass-dependent. On the other hand, comparing the entropy bound of event horizon to the BTZ case, it is shown that the angular momentum [Formula: see text] enlarges the entropy bound while the gravity's rainbow parameter [Formula: see text] diminishes it. For the entropy bound of Cauchy horizon, the gravity's rainbow parameter [Formula: see text] enlarges it at the large [Formula: see text] limit, while [Formula: see text] diminishes it at the small [Formula: see text] limit. These suggest some clues on the geometrical origin of black hole entropy bounds.

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