Statistical Entropy of Black Hole without Truncation Factor

Based on the works of Ghosh et al. who view the black hole entropy as the logarithm of the number of quantum states on the Quantum Isolated Horizon (QIH), the entropy of d-dimensional black hole is studied. According to the Unruh–Verlinde temperature deduced from the concept of entropic force, the statistical entropy of quantum fields under the background of d-dimensional spacetime is calculated by means of quantum statistics. The results reveal the relation between the entanglement entropy of black hole and the logarithm of the number of quantum states and display the effects of dimensions on the correction terms of the entanglement entropy.

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STATISTICAL ENTROPY OF KERR BLACK HOLE

International Journal of Modern Physics D ◽

10.1142/s0218271802002335 ◽

2002 ◽

Vol 11 (09) ◽

pp. 1381-1387 ◽

Cited By ~ 8

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.

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Quantum Statistical Entropy of Black Hole

General Relativity and Gravitation ◽

10.1023/a:1021179316964 ◽

2002 ◽

Vol 34 (12) ◽

pp. 2063-2073

Author(s):

Zhao Ren ◽

Zhang Junfang ◽

Zhang Lichun

Keyword(s):

Black Hole ◽

Statistical Entropy ◽

Entropy Of Black Hole ◽

Quantum Statistical

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Classical Statistical Entropy of Black Hole

American Journal of Theoretical and Applied Statistics ◽

10.11648/j.ajtas.s.2015040101.13 ◽

2015 ◽

Vol 4 (1) ◽

pp. 15

Author(s):

Dipo Mahto

Keyword(s):

Black Hole ◽

Statistical Entropy ◽

Entropy Of Black Hole

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Statistical entropy of Barriola-Vilenkin black hole

Acta Physica Sinica ◽

10.7498/aps.53.3673 ◽

2004 ◽

Vol 53 (11) ◽

pp. 3673

Author(s):

Li Gu-Qiang

Keyword(s):

Black Hole ◽

Statistical Entropy

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Quantum Statistical Entropy of Dielectric Black Hole

International Journal of Theoretical Physics ◽

10.1007/s10773-012-1340-2 ◽

2012 ◽

Vol 52 (2) ◽

pp. 362-367 ◽

Cited By ~ 1

Author(s):

Huaifan Li ◽

Huihua Zhao ◽

Lichun Zhang

Keyword(s):

Black Hole ◽

Statistical Entropy ◽

Quantum Statistical ◽

Dielectric Black Hole

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BOUND OF NONCOMMUTATIVITY PARAMETER BASED ON BLACK HOLE ENTROPY

Modern Physics Letters A ◽

10.1142/s0217732310034237 ◽

2010 ◽

Vol 25 (38) ◽

pp. 3213-3218 ◽

Cited By ~ 6

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.

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