Entropy of black holes with arbitrary shapes in loop quantum gravity

来源 :中国科学:物理学 力学 天文学(英文版) | 被引量 : 0次 | 上传用户:xumin7777
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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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