Entropy of black holes with arbitrary shapes in loop quantum gravity.

Autor: Song, ShuPeng, Li, HaiDa, Ma, YongGe, Zhang, Cong
Zdroj: SCIENCE CHINA Physics, Mechanics & Astronomy; Dec2021, Vol. 64 Issue 12, p1-8, 8p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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