中国物理B ›› 2002, Vol. 11 ›› Issue (1): 87-90.doi: 10.1088/1009-1963/11/1/318

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇    

Entropy and topology of the Kerr-de Sitter black hole

陈松柏, 荆继良   

  1. Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2001-06-19 修回日期:2001-08-17 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19975018).

Entropy and topology of the Kerr-de Sitter black hole

Chen Song-Bai (陈松柏), Jing Ji-Liang (荆继良)   

  1. Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2001-06-19 Revised:2001-08-17 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19975018).

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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.

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.

Key words: entropy of black hole, constrained gravitational instanton, Euler number

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
97.60.Lf (Black holes) 95.30.Sf (Relativity and gravitation) 04.20.Fy (Canonical formalism, Lagrangians, and variational principles) 05.70.Ce (Thermodynamic functions and equations of state) 98.80.Jk (Mathematical and relativistic aspects of cosmology)