Action and entropy of black holes in spacetimes with a cosmological constant

被引:107
作者
Cai, RG [1 ]
Ji, JY
Soh, KS
机构
[1] Seoul Natl Univ, Ctr Theoret Phys, Seoul 151742, South Korea
[2] Seoul Natl Univ, Dept Educ Phys, Seoul 151742, South Korea
关键词
D O I
10.1088/0264-9381/15/9/023
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In the Euclidean path-integral approach, we calculate the actions and the entropies for the Reissner-Nordstram-de Sitter solutions. When the temperatures of black hole and cosmological horizons are equal, the entropy is the sum of one-quarter areas of black hole and cosmological horizons; when the inner and outer black hole horizons coincide, the entropy is only one-quarter area of the cosmological horizon and the entropy vanishes when the two black hole horizons and cosmological horizon coincide. We also calculate the Euler numbers of the corresponding Euclidean manifolds, and discuss the relationship between the entropy of instanton and the Euler number.
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收藏
页码:2783 / 2793
页数:11
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