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Entropy and topology of the Kerr—de Sitter black hole
引用本文:陈松柏,荆继良. Entropy and topology of the Kerr—de Sitter black hole[J]. 中国物理, 2002, 11(1): 87-90. DOI: 10.1088/1009-1963/11/1/318
作者姓名:陈松柏  荆继良
作者单位:Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No. 19975018).
摘    要:By using the path integral method of Gibbons and Hawking, the entropy of the Kerr-de Sitter black hole is investigated under the microcanonical ensemble. We find that the entropy is one eighth the sum of the products of the Euler number of its cosmological horizon and event horizon with their respective areas. It is shown that the origin of the entropy of the black hole is related to the topology of its instanton.

关 键 词:黑洞 熵 路径积分
收稿时间:2001-06-19

Entropy and topology of the Kerr-de Sitter black hole
Chen Song-Bai and Jing Ji-Liang. Entropy and topology of the Kerr-de Sitter black hole[J]. Chinese Physics, 2002, 11(1): 87-90. DOI: 10.1088/1009-1963/11/1/318
Authors:Chen Song-Bai and Jing Ji-Liang
Affiliation:Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081, China
Abstract:By using the path integral method of Gibbons and Hawking, the entropy of the Kerr-de Sitter black hole is investigated under the microcanonical ensemble. We find that the entropy is one eighth the sum of the products of the Euler number of its cosmological horizon and event horizon with their respective areas. It is shown that the origin of the entropy of the black hole is related to the topology of its instanton.
Keywords:entropy of black hole   constrained gravitational instanton   Euler number
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