scholarly journals The brick-wall model unapplicable to the calculating of black hole entropy

2011 ◽  
Vol 60 (8) ◽  
pp. 080402
Author(s):  
Yang Xue-Jun ◽  
Zhao Zheng
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model

ENTROPY OF A NONSTATIC BLACK HOLE

2000 ◽  
Vol 15 (28) ◽  
pp. 1739-1747 ◽  
Author(s):  
LI XIANG ◽  
ZHAO ZHENG
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Time Dependent ◽  
Brick Wall ◽  
Two Dimensional ◽  
De Sitter ◽  
Wall Model ◽  
New Model ◽  
Brick Wall Model ◽  
Dynamical Degrees

We point out that the brick-wall model cannot be applied to the nonstatic black hole. In the case of a static hole, we propose a new model where the black hole entropy is attributed to the dynamical degrees of the field covering the two-dimensional membrane just outside the horizon. A cutoff different from the model of 't Hooft is necessarily introduced. It can be treated as an increase in horizon because of the space–time fluctuations. We also apply our model to the nonequilibrium and nonstatic cases, such as Schwarzschild–de Sitter and Vaidya space–times. In the nonstatic case, the entropy relies on a time-dependent cutoff.

EFFECT OF THE GENERALIZED UNCERTAINTY RELATION ON THE BLACK HOLE ENTROPY

2002 ◽  
Vol 17 (33) ◽  
pp. 2209-2219
Author(s):  
XIANG LI
Keyword(s):  
Black Hole ◽  
Uncertainty Relation ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Wall Model ◽  
Dirac Fields ◽  
Brick Wall Model ◽  
Generalized Uncertainty Relation ◽  
Klein Gordon ◽  
The Difference

The quantum entropies of the black hole, due to the massless Klein–Gordon and Dirac fields, are investigated by Rindler approximation. The difference from the brick wall model is that we take into account the effect of the generalized uncertainty relation on the state counting. The divergence appearing in the brick wall model is removed and the entropies proportional to the horizon area come from the contributions of the modes in the vicinity of the horizon. Here we take the units G=c=ℏ=kB=1.

THE QUANTUM CORRECTIONS TO THE ENTROPY OF ROTATING U(1) ⊗ U(1)-DILATON BLACK HOLES

1999 ◽  
Vol 14 (04) ◽  
pp. 239-246 ◽  
Author(s):  
YOU-GEN SHEN ◽  
DA-MING CHEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Dilaton Black Hole ◽  
Massless Quantum ◽  
Dilaton Black Holes

By using 't Hooft's brick wall model, the corrections for a massless quantum scalar field to the black hole entropy are studied in rotating U (1) ⊗ U (1)-dilaton black hole space–time. The free energy and entropy for this case are calculated, and in Hartle–Hawking states, the derived quantum entropy is composed of the geometric part and the non-geometric part which is logrithmically divergent. It turns out that the logrithmic part is related to the characteristic quantities of a black hole.

BLACK HOLE ENTROPY INSIDE AND OUTSIDE THE BRICK WALL

2003 ◽  
Vol 18 (15) ◽  
pp. 2681-2687 ◽  
Author(s):  
WENBIAO LIU ◽  
YIWEN HAN ◽  
ZHOU'AN ZHOU
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Quantum Theory ◽  
Uncertainty Relation ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Wall Model ◽  
Horizon Area ◽  
Brick Wall Model ◽  
Generalized Uncertainty Relation

Applying the generalized uncertainty relation to the calculation of the free energy and entropy of a black hole inside the brick wall, the entropy proportional to the horizon area is derived from the contribution of the vicinity of the horizon. This is compared with the entropy calculated via the original brick wall model. The entropy given by the original brick wall model comes from the outside of the brick wall seemingly. The inside result using generalized uncertainty relation is similar to the outside result using original uncertainty relation, and the divergence inside the brick wall disappears. It is apparent that the cutoff is something related to the quantum theory of gravity.

scholarly journals Solution-independent analysis of black hole entropy in brick wall model

2005 ◽  
Vol 22 (19) ◽  
pp. 3923-3934 ◽  
Author(s):  
Masakatsu Kenmoku ◽  
Kamal Kanti Nandi ◽  
Kazuyasu Shigemoto
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Independent Analysis

scholarly journals Hidden Degeneracy in the Brick Wall Model of Black Holes

2003 ◽  
Vol 18 (21) ◽  
pp. 1463-1471 ◽  
Author(s):  
Kumar S. Gupta ◽  
Siddhartha Sen
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Short Distance ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Quantum Field ◽  
Wall Model ◽  
Brick Wall Model ◽  
Distance Cutoff ◽  
Degenerate Modes

Quantum field theory in the near-horizon region of a black hole predicts the existence of an infinite number of degenerate modes. Such a degeneracy is regulated in the brick wall model by the introduction of a short distance cutoff. In this paper we show that states of the brick wall model with nonzero energy admit a further degeneracy for any given finite value of the cutoff. The black hole entropy is calculated within the brick wall model taking this degeneracy into account. Modes with complex frequencies however do not exhibit such a degeneracy.

IMPROVED BLACK HOLE ENTROPY CALCULATION WITHOUT CUTOFF

2004 ◽  
Vol 19 (09) ◽  
pp. 677-680 ◽  
Author(s):  
XUEFENG SUN ◽  
WENBIAO LIU
Keyword(s):  
Black Hole ◽  
Upper Bound ◽  
Uncertainty Relation ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Wall Model ◽  
Horizon Area ◽  
Brick Wall Model ◽  
Generalized Uncertainty Relation ◽  
Thin Film Model

The brick wall model and thin film model are most representative models in black hole entropy calculation. However, each of them must have a cutoff in order to avoid the divergence, and the divergence itself cannot be explained satisfactorily. Li Xiang6 substituted the classical uncertainty relation with the generalized uncertainty relation, the divergence was removed, consequently the cutoff was also removed. But due to the complex expression, he did not give the final solution. He only drew a conclusion that the upper bound of a black hole entropy is in proportional to its horizon area. The method using the generalized uncertainty relation to brick wall model is studied in depth. It is finally found out that the black hole entropy itself is also proportional to its horizon area instead of the upper bound.

ENTROPY CALCULATION OF A KERR–NEWMAN BLACK HOLE VIA THE THIN FILM BRICK-WALL MODEL

2004 ◽  
Vol 19 (17n18) ◽  
pp. 3005-3011 ◽  
Author(s):  
ZHOU'AN ZHOU ◽  
WENBIAO LIU
Keyword(s):  
Thin Film ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Wall Model ◽  
Area Theorem ◽  
Brick Wall Model ◽  
Thin Film Model ◽  
Newman Black Hole ◽  
Different Temperatures

Applying the powerful thin film brick-wall model to the general Kerr–Newman black hole, we find out that the entropy calculation result can also satisfy the area theorem. Moreover, the area theorem is not only satisfied for the global black hole, but also for every area cell on its horizon, that means, every cell on the horizon contributes its own part of entropy if we choose a same temperature-related radial cutoff ε'. This new thin film brick-wall model can be used to calculate dynamic black hole which has different temperatures on the horizon. It tells us that the horizon is exactly the statistical origin of a black hole entropy, the total entropy of a black hole is just the sum of all the contributions from every area cell. For a Kerr–Newman black hole, there is also an important difference between the thin film brick-wall model and the original one, that is, we do not need any angular cutoff in the thin film model, and this makes the physical meaning clearer.

WKB APPROXIMATION AND EFFECT OF SPIN ON THE BLACK HOLE ENTROPY

2007 ◽  
Vol 22 (28) ◽  
pp. 5229-5235 ◽  
Author(s):  
GU-QIANG LI
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Linear Term ◽  
Wkb Approximation ◽  
Quadratic Term ◽  
Brick Wall ◽  
Wall Model ◽  
Logarithmic Term ◽  
Brick Wall Model ◽  
Spin Fields

The black hole entropy due to spin fields are calculated by using brick-wall model. The appearance of the logarithmic terms is demonstrated and we specially deal with the subleading logarithmic term which exists for any spin fields. It is shown that the subleading logarithmic term is related to the use of WKB approximation but it usually includes not only a quadratic term and a linear term of the spin but also a zero-power term of the spin.

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