Entropy of charged dilaton-axion black hole with minimal length revisited

Open Physics ◽  
2009 ◽  
Vol 7 (3) ◽  
Author(s):  
Chunyan Wang ◽  
Yuanxing Gui ◽  
Lili Xing
Keyword(s):  
Thin Film ◽  
Black Hole ◽  
Free Energy ◽  
Degrees Of Freedom ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Brick Wall ◽  
Wall Model ◽  
Asymptotically Flat ◽  
Brick Wall Model

AbstractUsing the generalized uncertainty principle, we calculate the entropy of the charged dilaton-axion black hole for both asymptotically flat and non-flat cases by counting degrees of freedom near the horizon. The divergence of density of states and free energy appearing in the thin film brick-wall model is removed without any cutoff. The entropy proportional to the horizon area is derived from the contribution of the vicinity of the horizon.

ENTROPY OF A ROTATING AND ARBITRARILY ACCELERATING BLACK HOLE

2003 ◽  
Vol 12 (06) ◽  
pp. 1083-1094 ◽  
Author(s):  
XUEJUN YANG ◽  
YIWEN HAN ◽  
ZHENG ZHAO
Keyword(s):  
Thin Film ◽  
Black Holes ◽  
Black Hole ◽  
Surface Area ◽  
Entropy Density ◽  
Brick Wall ◽  
Total Entropy ◽  
Wall Model ◽  
Brick Wall Model ◽  
Nonstationary Black Hole

The entropy of a rotating and arbitrarily accelerating black hole whose metric changes slowly is calculated using the thin film brick-wall model. We obtain the entropy density at every point of the horizon surface and the total entropy of the black hole. The results show that the entropy of the nonstationary black hole is also proportional to the surface area of the black hole's event horizon as in the cases of stationary black holes.

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.

THE FERMIONIC ENTROPY IN DILATONIC BLACK HOLE BACKGROUND SPACETIME

2001 ◽  
Vol 10 (04) ◽  
pp. 539-546 ◽  
Author(s):  
YOU-GEN SHEN ◽  
DA-MING CHEN
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Black Hole Background ◽  
Back Ground ◽  
Dilatonic Black Hole ◽  
Fermionic Entropy

The fermionic free energy and entropy are calculated in Garfinkle–Horowitz–Strominger dilatonic black hole background spacetime, by using 't Hfoot's brick wall model. It turns out that the fermionic entropy in Garfinkle–Horowitz–Strominger dilatonic black hole back ground spacetime is 7/2 times the Bosonic entropy.

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.

GENERALIZED UNCERTAINTY PRINCIPLE AND THE QUANTUM ENTROPY OF A KERR BLACK HOLE

2004 ◽  
Vol 13 (09) ◽  
pp. 1847-1856 ◽  
Author(s):  
CHEN LI ◽  
LI XIANG ◽  
YOU-GEN SHEN
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Kerr Black Hole ◽  
Quantum States ◽  
Brick Wall ◽  
Wall Model ◽  
Kerr Spacetime ◽  
Brick Wall Model ◽  
New Equation

Taking into account the generalized uncertainty principle (GUP), we calculate the entropy of a scalar field in a Kerr spacetime. Different to previous work, we have used an new equation of the density of quantum states, which arises from the modified commutation relation [Formula: see text]. The divergence in the brick wall model is removed, without the cutoff.

COMPUTING THE ENTROPY OF KERR–NEWMAN BLACK HOLE WITHOUT BRICK WALLS METHOD

2008 ◽  
Vol 23 (20) ◽  
pp. 3155-3163 ◽  
Author(s):  
LI-CHUN ZHANG ◽  
YUE-QIN WU ◽  
HUAI-FAN LI ◽  
ZHAO REN
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Space Time ◽  
Quantum States ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Newman Black Hole

By using the entanglement entropy method, the statistical entropy of the Bose and Fermi fields in a thin film is calculated and the Bekenstein–Hawking entropy of Kerr–Newman black hole is obtained. Here, the Bose and Fermi fields are entangled with the quantum states in Kerr–Newman black hole and are outside of the horizon. The divergence of brick-wall model is avoided without any cutoff by the new equation of state density obtained with the generalized uncertainty principle. The calculation implies that the high density quantum states near the event horizon are strongly correlated with the quantum states in black hole. The black hole entropy is a quantum effect. It is an intrinsic characteristic of space–time. The ultraviolet cutoff in the brick-wall model is unreasonable. The generalized uncertainty principle should be considered in the high energy quantum field near the event horizon. From the calculation, the constant λ introduced in the generalized uncertainty principle is related to polar angle θ in an axisymmetric space–time.

ENTANGLEMENT ENTROPY OF THE SIX-DIMENSIONAL HOROWITZ–STROMINGER BLACK HOLE

2008 ◽  
Vol 23 (13) ◽  
pp. 1963-1972
Author(s):  
HUAI-FAN LI ◽  
SHENG-LI ZHANG ◽  
YUE-QIN WU ◽  
ZHAO REN
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Uncertainty Principle ◽  
Entanglement Entropy ◽  
Generalized Uncertainty Principle ◽  
High Energy ◽  
Quantum States ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model

By using the entanglement entropy method, the statistical entropy of the Bose and Fermi fields in a thin film is calculated and the Bekenstein–Hawking entropy of six-dimensional Horowitz–Strominger black hole is obtained. Here, the Bose and Fermi fields are entangled with the quantum states in six-dimensional Horowitz–Strominger black hole and the fields are outside of the horizon. The divergence of brick-wall model is avoided without any cutoff by the new equation of state density obtained with the generalized uncertainty principle. The calculation implies that the high density quantum states near the event horizon are strongly correlated with the quantum states in black hole. The black hole entropy is a quantum effect. It is an intrinsic characteristic of space–time. The ultraviolet cutoff in the brick-wall model is unreasonable. The generalized uncertainty principle should be considered in the high energy quantum field near the event horizon. Using the quantum statistical method, we directly calculate the partition function of the Bose and Fermi fields under the background of the six-dimensional black hole. The difficulty in solving the wave equations of various particles is overcome.

THE ENTROPY CALCULATED VIA BRICK-WALL METHOD COMES FROM A THIN FILM NEAR THE EVENT HORIZON

2001 ◽  
Vol 16 (23) ◽  
pp. 3793-3803 ◽  
Author(s):  
WENBIAO LIU ◽  
ZHENG ZHAO
Keyword(s):  
Thin Film ◽  
Black Hole ◽  
Event Horizon ◽  
Fundamental Problem ◽  
Dirac Field ◽  
Brick Wall ◽  
De Sitter ◽  
Wall Model ◽  
Mass Approximation ◽  
Wall Method

The brick-wall method put forward by 't Hooft has contributed a great deal to the understanding and calculating of the entropy of a black hole. However, there are some drawbacks in it such as little mass approximation, neglecting logarithm terms, and taking the term including L3 as a contribution of the vacuum surrounding the black hole. Moreover, the fundamental problem is why the entropy of scalar field or Dirac field surrounding a black hole is the entropy of the black hole itself. It is well known that the event horizon is the characteristic of a black hole. The entropy calculation of a black hole should be only related to its horizon. Due to this analysis, we improve the brick-wall model by taking that the entropy of a black hole is only contributed by a thin film near the event horizon. This improvement not only gives us a satisfied result, but also avoids the drawbacks in the original brick-wall method. It is found that there is an intrinsic relation between the event horizon and the entropy. We also calculate the entropy of Schwarzschild–de Sitter space–time via the improved method, which can hardly be resolved via the original model.

scholarly journals Improvement and extension of the thin film brick wall model without cut-off

2004 ◽  
Vol 53 (11) ◽  
pp. 4002
Author(s):  
Sun Xue-Feng ◽  
Jing Ling ◽  
Liu Wen-Biao
Keyword(s):  
Thin Film ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model
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