Quantum Statistical Entropy of Black Hole

In this paper, we consider the metric of a (2[Formula: see text]+[Formula: see text]1)-dimensional rotating acoustic black hole in the neo-Newtonian theory to compute the Hawking temperature, and applying the quantum statistical method, we calculate the statistical entropy using a corrected state density due to the generalized uncertainty principle (GUP). In our calculations, we have shown that the obtained entropy is finite and correction terms are generated. Moreover, the computation of the entropy for this method does not present logarithmic corrections.

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ENTANGLEMENT ENTROPY OF d-DIMENSIONAL BLACK HOLE AND QUANTUM ISOLATED HORIZON

Modern Physics Letters A ◽

10.1142/s0217732313501290 ◽

2013 ◽

Vol 28 (32) ◽

pp. 1350129

Author(s):

HUI-HUA ZHAO ◽

GUANG-LIANG LI ◽

REN ZHAO ◽

MENG-SEN MA ◽

LI-CHUN ZHANG

Keyword(s):

Black Hole ◽

Entanglement Entropy ◽

Black Hole Entropy ◽

Quantum States ◽

Entropic Force ◽

Statistical Entropy ◽

Dimensional Spacetime ◽

Entropy Of Black Hole ◽

Dimensional Black Hole ◽

Correction Terms

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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Quantum statistical entropy for Kerr–de Sitter black hole

Chinese Physics ◽

10.1088/1009-1963/13/6/032 ◽

2004 ◽

Vol 13 (6) ◽

pp. 974-978 ◽

Cited By ~ 7

Author(s):

Zhang Li-Chun ◽

Wu Yue-Qin ◽

Zhao Ren

Keyword(s):

Black Hole ◽

De Sitter ◽

Statistical Entropy ◽

Quantum Statistical

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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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Statistical Entropy of Black Hole without Truncation Factor

International Journal of Theoretical Physics ◽

10.1007/s10773-017-3361-3 ◽

2017 ◽

Vol 56 (7) ◽

pp. 2161-2166

Author(s):

Ji-Jian Jiang ◽

Yu-Shan Li ◽

Jing-Lun Liu ◽

Chuan-An Li

Keyword(s):

Black Hole ◽

Statistical Entropy ◽

Entropy Of Black Hole

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QUANTUM STATISTICAL ENTROPY OF KERR–DE SITTER BLACK HOLE

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887804000101 ◽

2004 ◽

Vol 01 (03) ◽

pp. 159-166

Author(s):

TIAN-RAN DING ◽

REN ZHAO

Keyword(s):

Black Hole ◽

Thermal Equilibrium ◽

Space Time ◽

The Other ◽

De Sitter ◽

Statistical Entropy ◽

Higher Dimensional ◽

Quantum Statistical ◽

Fermionic Entropy ◽

Non Equilibrium

By using the method of the membrane model, we derive the entropy of the black hole in non-thermal equilibrium states, and discuss the (n+2)-dimensional de Sitter space-time. We show that the entropy of the black hole in the non-equilibrium state comprises two parts: one is the entropy corresponding to the black hole horizon; the other is the entropy corresponding to the cosmic horizon. Furthermore, we show that the entropy is the inherent property of the black hole and is irrelevant to the radiation field outside the horizon. This deepens our recognition of the relation between the entropy of the black hole and the area of the horizon. We provide a new way by which the bosonic and fermionic entropy of the black hole in higher dimensional non-equilibrium space-time is studied.

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