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 BLACK HOLE ENTROPY BY THE BRICK-WALL METHOD IN FOUR AND FIVE DIMENSIONS WITH U(1) CHARGES

2001 ◽  
Vol 16 (39) ◽  
pp. 2495-2503 ◽  
Author(s):  
ELCIO ABDALLA ◽  
L. ALEJANDRO CORREA-BORBONET
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Statistical Entropy ◽  
Five Dimensions ◽  
Entropy Formula ◽  
Wall Method

Using the brick-wall method we compute the statistical entropy of a scalar field in a nontrivial background, in two different cases. These backgrounds are generated by four- and five-dimensional black holes with four and three U(1) charges respectively. The Bekenstein entropy formula is generally obeyed, but corrections are discussed in the latter case.

scholarly journals BOUND OF NONCOMMUTATIVITY PARAMETER BASED ON BLACK HOLE ENTROPY

2010 ◽  
Vol 25 (38) ◽  
pp. 3213-3218 ◽  
Author(s):  
WONTAE KIM ◽  
DAEHO LEE
Keyword(s):  
Black Hole ◽  
Gauge Group ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Statistical Entropy ◽  
Schwarzschild Black Hole ◽  
Cutoff Parameter ◽  
Entropy Satisfying ◽  
Area Law ◽  
Wall Method

We study the bound of the noncommutativity parameter in the noncommutative Schwarzschild black hole which is a solution of the noncommutative ISO(3, 1) Poincaré gauge group. The statistical entropy satisfying the area law in the brick wall method yields a cutoff relation which depends on the noncommutativity parameter. Requiring both the cutoff parameter and the noncommutativity parameter to be real, the noncommutativity parameter can be shown to be bounded as Θ > 8.4 × 10-2lp.

Rediscussion of charged dilaton-axion black hole entropy

Open Physics ◽  
2009 ◽  
Vol 7 (3) ◽  
Author(s):  
Chunyan Wang ◽  
Yuanxing Gui
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Small Mass ◽  
Brick Wall ◽  
Improved Method ◽  
Wall Model ◽  
Asymptotically Flat ◽  
Entropy Formula ◽  
Mass Approximation ◽  
Wall Method

AbstractWe rediscuss the entropy of a charged dilaton-axion black hole for both the asymptotically flat and non-flat cases by using the thin film brick-wall model. This improved method avoids some drawbacks in the original brick-wall method such as the small mass approximation, neglecting the logarithm term, and taking the term L 3 as the contribution of the vacuum surrounding the black hole. The entropy we obtain turns out to be proportional to the horizon area of the black hole, conforming to the Bekenstein-Hawking area-entropy formula for black holes.

THE NERNST THEOREM AND THE ENTROPY OF A CYLINDRICAL BLACK HOLE

2000 ◽  
Vol 15 (35) ◽  
pp. 2165-2170
Author(s):  
ZHAO REN ◽  
LICHUN ZHANG ◽  
YUEQIN WU
Keyword(s):  
Black Hole ◽  
Free Energy ◽  
Scalar Field ◽  
Location Parameter ◽  
Flat Space ◽  
Radiation Temperature ◽  
Brick Wall ◽  
Nernst Theorem ◽  
Inner Horizon ◽  
Wall Method

Under nonspherical coordinates, the free energy and the entropy of a scalar field are calculated in terms of the brick-wall method on the background of a nonasymptotically flat cylindrical black hole. It is shown that the entropy is not only related to the area of an outer horizon but also function of inner horizon at nonasymptotically flat space–time, when a black hole has both inner and outer horizons. Further, the entropy expressed by location parameter of outer and inner horizons approaches zero, when the radiation temperature of a black hole approaches zero. It satisfies the Nernst theorem and can be taken as Planck absolute entropy of a black hole.

QUANTUM CORRECTIONS TO THE ENTROPY OF EXTREME REISSNER–NORDSTRÖM BLACK HOLES

2001 ◽  
Vol 16 (08) ◽  
pp. 489-495
Author(s):  
WEIGANG QIU ◽  
JIANJUN XU ◽  
RU-KENG SU ◽  
BIN WANG
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Electromagnetic Field ◽  
Scalar Field ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Extreme Black Holes

Using brick wall model, the first quantum corrections to the extreme Reissner–Nordström black hole entropy due to scalar field as well as electromagnetic field have been calculated. Different quantum entropy values have been obtained for two different kinds of extreme black holes.

BLACK HOLE ENTROPY FOR ANTI DE SITTER AND DE SITTER DILATONIC SPACETIME USING BRICK WALL METHOD

2007 ◽  
Vol 22 (37) ◽  
pp. 2865-2872 ◽  
Author(s):  
TANWI GHOSH
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Semiclassical Approach ◽  
Sitter Spacetime ◽  
Dilatonic Black Hole ◽  
Finite Result ◽  
Wall Method

The entropy of a scalar field in the background of a dilatonic black hole both in anti de Sitter and de Sitter spacetime has been calculated using brick wall method. The form of divergent contributions to the entropy is in agreement with the previous calculations in the literature. The semiclassical approach used here is straightforward and produces finite result apart from an ambiguity in logarithmic terms.

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.

ENTROPY OF SCHWARZSCHILD–de SITTER BLACK HOLE IN NON-THERMAL-EQUILIBRIUM

2001 ◽  
Vol 16 (11) ◽  
pp. 719-723 ◽  
Author(s):  
REN ZHAO ◽  
JUNFANG ZHANG ◽  
LICHUN ZHANG
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Thermal Equilibrium ◽  
Gordon Equation ◽  
Brick Wall ◽  
De Sitter ◽  
Logarithmic Term ◽  
Klein Gordon ◽  
Klein Gordon Equation ◽  
Wall Method

Starting from the Klein–Gordon equation, we calculate the entropy of Schwarzschild–de Sitter black hole in non-thermal-equilibrium by using the improved brick-wall method-membrane model. When taking the proper cutoff in the obtained result, we obtain that both black hole's entropy and cosmic entropy are proportional to the areas of event horizon. We avoid the logarithmic term and stripped term in the original brick-wall method. It offers a new way of studying the entropy of the black hole in non-thermal-equilibrium.

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.

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