Entropy of black holes with arbitrary shapes in loop quantum gravity

被引：0
|
作者：
ShuPeng Song
HaiDa Li
YongGe Ma
Cong Zhang
机构：
[1] Xinjiang University,School of Physics and Technology
[2] Beijing Normal University,Department of Physics
[3] University of Warsaw,Faculty of Physics
来源：
Science China Physics, Mechanics & Astronomy | 2021年 / 64卷
关键词：
isolated horizon; entropy; loop quantum gravity;
D O I：
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学科分类号：
摘要：
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.
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