中国物理B ›› 2001, Vol. 10 ›› Issue (8): 698-702.doi: 10.1088/1009-1963/10/8/305

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STATISTICAL ENTROPIES OF THE TAUB－NUT/BOLT AdS SPACES FROM THE HORIZON CONFORMAL FIELD THEORY

黄亦斌1, 周三庆2, 荆继良3   

  1. (1)Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei, 230026, China; (2)Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081, China; (3)Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081, China; Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei, 230026, China
  • 收稿日期:2001-02-05 出版日期:2001-08-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19975018), and the Theoretical Physics Special Foundation of China (Grant No. 19947004).

STATISTICAL ENTROPIES OF THE TAUB－NUT/BOLT AdS SPACES FROM THE HORIZON CONFORMAL FIELD THEORY

Jing Ji-liang (荆继良)ab, Zhou San-qing (周三庆)a, Huang Yi-bin (黄亦斌)b    

  1. a Institute of Physics and Department of Physics, Hunan Normal University, Changsha 410081, China; b Department of Astronomy and Applied Physics, University of Science and Technology of China, Hefei, 230026, China
  • Received:2001-02-05 Online:2001-08-15 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19975018), and the Theoretical Physics Special Foundation of China (Grant No. 19947004).

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摘要： The covariant phase technique is used to compute the constraint algebra of the four-dimensional space-times which are asymptotic to anti-de Sitter (AdS), such as the planar Taub－NUT AdS and Taub－bolt AdS spaces, and the hyperbolic Taub－bolt AdS space. The standard Virasoro subalgebrae with corresponding central charges for these objects are constructed and the resulting densities of states yield the expected Bekenstein－Hawking entropies.

Abstract: The covariant phase technique is used to compute the constraint algebra of the four-dimensional space-times which are asymptotic to anti-de Sitter (AdS), such as the planar Taub－NUT AdS and Taub－bolt AdS spaces, and the hyperbolic Taub－bolt AdS space. The standard Virasoro subalgebrae with corresponding central charges for these objects are constructed and the resulting densities of states yield the expected Bekenstein－Hawking entropies.

Key words: statistical entropy, black hole, conformal field theory

中图分类号:  (Black holes)

  • 97.60.Lf
04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics) 04.20.Gz (Spacetime topology, causal structure, spinor structure) 95.30.Sf (Relativity and gravitation) 05.70.Ce (Thermodynamic functions and equations of state) 02.10.-v (Logic, set theory, and algebra) 04.20.Ha (Asymptotic structure)