Entropy of black holes with arbitrary shapes in loop quantum gravity

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is successfully applied in the scheme to calculate the entropy by the...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy mechanics & astronomy, 2021-12, Vol.64 (12), p.120411, Article 120411
Main Authors: Song, ShuPeng, Li, HaiDa, Ma, YongGe, Zhang, Cong
Format: Article
Language:English
Subjects:
Astronomy
Black holes
Classical and Continuum Physics
Entropy
Geometry
Gravity
Mathematical analysis
Mechanics
Observations and Techniques
Physics
Physics and Astronomy
Quantum gravity
Spacetime
Symmetry
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Summary:The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is successfully applied in the scheme to calculate the entropy by the S O (1, 1) BF boundary theory matching loop quantum gravity in the bulk. The generating function for calculating the microscopical degrees of freedom of a given isolated horizon is obtained. Numerical computations of small black holes indicate a new entropy formula containing the quantum correction related to the partition of the horizon. Further evidence shows that, for a given horizon area, the entropy decreases as a black hole deviates from the spherically symmetric one, and the entropy formula is also well suitable for big black holes.
ISSN:1674-7348
1869-1927
DOI:10.1007/s11433-021-1770-3