scholarly journals NERNST THEOREM AND PLANCK ABSOLUTE ENTROPY OF BLACK HOLE

1999 ◽  
Vol 48 (8) ◽  
pp. 1558
Author(s):  
ZHAO ZHENG ◽  
ZHU JIAN-YANG
Keyword(s):  
Black Hole ◽  
Absolute Entropy ◽  
Nernst Theorem ◽  
Entropy Of Black Hole

scholarly journals Discussion of a Possible Corrected Black Hole Entropy

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Miao He ◽  
Ziliang Wang ◽  
Chao Fang ◽  
Daoquan Sun ◽  
Jianbo Deng
Keyword(s):  
Black Hole ◽  
Electromagnetic Field ◽  
Black Hole Entropy ◽  
Einstein Gravity ◽  
Matter Field ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Corrected Entropy ◽  
Entropy Of Black Hole ◽  
Spherically Symmetric Solution

Einstein’s equation could be interpreted as the first law of thermodynamics near the spherically symmetric horizon. Through recalling the Einstein gravity with a more general static spherical symmetric metric, we find that the entropy would have a correction in Einstein gravity. By using this method, we investigate the Eddington-inspired Born-Infeld (EiBI) gravity. Without matter field, we can also derive the first law in EiBI gravity. With an electromagnetic field, as the field equations have a more general spherically symmetric solution in EiBI gravity, we find that correction of the entropy could be generalized to EiBI gravity. Furthermore, we point out that the Einstein gravity and EiBI gravity might be equivalent on the event horizon. At last, under EiBI gravity with the electromagnetic field, a specific corrected entropy of black hole is given.

scholarly journals THE CARDY–VERLINDE FORMULA AND ENTROPY OF TOPOLOGICAL REISSNER–NORDSTRÖM BLACK HOLES IN DE SITTER SPACES

2002 ◽  
Vol 17 (32) ◽  
pp. 2089-2094 ◽  
Author(s):  
M. R. SETARE
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Black Hole ◽  
Conformal Field Theory ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Conformal Field ◽  
Entropy Formula ◽  
Verlinde Formula ◽  
Entropy Of Black Hole

In this paper we discuss the question of whether the entropy of cosmological horizon in topological Reissner–Nordström–de Sitter spaces can be described by the Cardy–Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. Furthermore, we find that the entropy of black hole horizon can also be rewritten in terms of the Cardy–Verlinde formula for these black holes in de Sitter spaces, if we use the definition due to Abbott and Deser for conserved charges in asymptotically de Sitter spaces. Our result is in favour of the dS/CFT correspondence.

scholarly journals Topological Entanglement Entropy of Black Hole Interiors

2020 ◽  
pp. 1940001
Author(s):  
Eric Howard
Keyword(s):  
Black Hole ◽  
Long Range ◽  
Entanglement Entropy ◽  
Quantum Hall ◽  
Black Hole Entropy ◽  
Topological Quantum ◽  
Boundary Correspondence ◽  
Entropy Of Black Hole ◽  
Topological Entanglement Entropy ◽  
Chern Simons

Recent theoretical progress shows that ([Formula: see text]) black hole solution manifests long-range topological quantum entanglement similar to exotic non-Abelian excitations with fractional quantum statistics. In topologically ordered systems, there is a deep connection between physics of the bulk and that at the boundaries. Boundary terms play an important role in explaining the black hole entropy in general. We find several common properties between BTZ black holes and the Quantum Hall effect in ([Formula: see text])-dimensional bulk/boundary theories. We calculate the topological entanglement entropy of a ([Formula: see text]) black hole and recover the Bekenstein–Hawking entropy, showing that black hole entropy and topological entanglement entropy are related. Using Chern–Simons and Liouville theories, we find that long-range entanglement describes the interior geometry of a black hole and identify it with the boundary entropy as the bond required by the connectivity of spacetime, gluing the short-range entanglement described by the area law. The IR bulk–UV boundary correspondence can be realized as a UV low-excitation theory on the bulk matching the IR long-range excitations on the boundary theory. Several aspects of the current findings are discussed.

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

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.

Quantum Entropy of Black Hole with Internal Global Monopole

2005 ◽  
Vol 43 (2) ◽  
pp. 382-384 ◽  
Author(s):  
Han Yi-Wen ◽  
Yang Shu-Zheng ◽  
Liu Wen-Biao
Keyword(s):  
Black Hole ◽  
Quantum Entropy ◽  
Global Monopole ◽  
Entropy Of Black Hole

scholarly journals The entropy of Sen black hole and the Nernst theorem

2004 ◽  
Vol 53 (2) ◽  
pp. 362
Author(s):  
Zhang Li-Chun ◽  
Zhao Ren
Keyword(s):  
Black Hole ◽  
Nernst Theorem
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