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.

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.

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.

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.

scholarly journals EXTREME DYONIC BLACK HOLES IN STRING THEORY

1996 ◽  
Vol 11 (09) ◽  
pp. 689-713 ◽  
Author(s):  
A.A. TSEYTLIN
Keyword(s):  
Black Holes ◽  
String Theory ◽  
Short Distance ◽  
Black Hole Entropy ◽  
Universal Relation ◽  
Type Ii ◽  
Statistical Entropy ◽  
Five Dimensions ◽  
Compact Dimension ◽  
Lower Dimensional

Supersymmetric extreme dyonic black holes of toroidally compactified heterotic or type-II string theory can be viewed as lower-dimensional images of solitonic strings wound around a compact dimension. We consider conformal sigma models which describe string configurations corresponding to various extreme dyonic black holes in four and five dimensions. These conformal models have regular short-distance region equivalent to a WZW theory with level proportional to magnetic charges. Arguments are presented suggesting a universal relation between the black hole entropy (area) and the statistical entropy of BPS-saturated oscillation states of solitonic string.

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.

scholarly journals BLACK HOLES AND STRINGS: THE POLYMER LINK

1998 ◽  
Vol 13 (17) ◽  
pp. 1407-1411 ◽  
Author(s):  
RAMZI R. KHURI
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Soft Matter ◽  
Black Hole Entropy ◽  
Entropy Formula ◽  
Recent Success ◽  
Thermodynamics And Statistical Mechanics

Quantum aspects of black holes represent an important testing ground for a theory of quantum gravity. The recent success of string theory in reproducing the Bekenstein–Hawking black hole entropy formula provides a link between general relativity and quantum mechanics via thermodynamics and statistical mechanics. Here we speculate on the existence of new and unexpected links between black holes and polymers and other soft-matter systems.

STATISTICAL ENTROPY OF KERR BLACK HOLE

2002 ◽  
Vol 11 (09) ◽  
pp. 1381-1387 ◽  
Author(s):  
REN ZHAO ◽  
LICHUN ZHANG
Keyword(s):  
Black Hole ◽  
Kerr Black Hole ◽  
State Density ◽  
Partition Functions ◽  
Brick Wall ◽  
Statistical Entropy ◽  
Fermionic Field ◽  
Logarithmic Term ◽  
Entropy Of Black Hole ◽  
Wall Method

Using the method of quantum statistics, we directly derive the partition functions of bosonic and fermionic field in Kerr black hole with axial symmetry. Then via the improved brick-wall method for membrane model, we show that the entropy of the bosonic and fermionic field in the black hole is proportional to the area of the horizon. In our result, the stripped term and the divergent logarithmic term no longer exist. Hence the problem that the state density is divergent around the horizon doesn't exist. We also give the influence of the spining degeneracy of particles on the entropy of black hole. We offer a new simple and direct way of calculating the entropy of different complicated black holes.

scholarly journals QUANTIZATION OF BLACK HOLES

2011 ◽  
Vol 26 (30) ◽  
pp. 2299-2304 ◽  
Author(s):  
XIAO-GANG HE ◽  
BO-QIANG MA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Quantum Effect ◽  
Planck Scale ◽  
Black Hole Entropy ◽  
Low Energy ◽  
Primordial Black Holes ◽  
Entropic Force ◽  
Entropy Formula

We show that black holes can be quantized in an intuitive and elegant way with results in agreement with conventional knowledge of black holes by using Bohr's idea of quantizing the motion of an electron inside the atom in quantum mechanics. We find that properties of black holes can also be derived from an ansatz of quantized entropy [Formula: see text], which was suggested in a previous work to unify the black hole entropy formula and Verlinde's conjecture to explain gravity as an entropic force. Such an Ansatz also explains gravity as an entropic force from quantum effect. This suggests a way to unify gravity with quantum theory. Several interesting and surprising results of black holes are given from which we predict the existence of primordial black holes ranging from Planck scale both in size and energy to big ones in size but with low energy behaviors.

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.

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