中国物理B ›› 2001, Vol. 10 ›› Issue (6): 467-474.doi: 10.1088/1009-1963/10/6/301

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THERMODYNAMICS OF THE SLOWLY ROTATING KERR-NEWMAN BLACK HOLE IN THE GRAND CANONICAL ENSEMBLE

陈菊华1, 王永久1, 荆继良2   

  1. (1)Department of Physics and Institute of Physics, Hunan Normal University, Changsha 410081, China; (2)Department of Physics and Institute 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:2000-10-21 修回日期:2001-02-18 出版日期:2001-06-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19975018).

THERMODYNAMICS OF THE SLOWLY ROTATING KERR-NEWMAN BLACK HOLE IN THE GRAND CANONICAL ENSEMBLE

Chen Ju-hua (陈菊华)a, Jing Ji-liang (荆继良)ab, Wang Yong-jiu (王永久)a   

  1. a Department of Physics and Institute 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:2000-10-21 Revised:2001-02-18 Online:2001-06-15 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： We investigate the thermodynamics of the slowly rotating Kerr-Newman (K-N) black hole in the grand canonical ensemble with York's formalism. Some thermodynamical properties, such as the thermodynamical action, entropy, thermodynamical energy and heat capacity are studied, and solutions of the slowly rotating K-N black hole with different boundary conditions are analysed. We find stable solutions and instantons under certain boundary conditions.

Abstract: We investigate the thermodynamics of the slowly rotating Kerr-Newman (K-N) black hole in the grand canonical ensemble with York's formalism. Some thermodynamical properties, such as the thermodynamical action, entropy, thermodynamical energy and heat capacity are studied, and solutions of the slowly rotating K-N black hole with different boundary conditions are analysed. We find stable solutions and instantons under certain boundary conditions.

Key words: thermodynamics, slowly rotating Kerr-Newman black hole

中图分类号:  (Black holes)

  • 97.60.Lf
04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics) 04.20.Fy (Canonical formalism, Lagrangians, and variational principles) 95.30.Sf (Relativity and gravitation)