中国物理B ›› 2004, Vol. 13 ›› Issue (2): 268-272.doi: 10.1088/1009-1963/13/2/025

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇    

Bosonic and fermionic entropy of black holes with different temperatures on horizon surface

丁天然1, 武月琴2, 张丽春2   

  1. (1)Department of Physics, Jining Teacher's College, Jining 272025, China; (2)Department of Physics, Yanbei Normal Institute, Datong 037000, China
  • 收稿日期:2003-05-28 修回日期:2003-07-30 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No 20001009).

Bosonic and fermionic entropy of black holes with different temperatures on horizon surface

Ding Tian-Ran (丁天然)a, Wu Yue-Qin (武月琴)b, Zhang Li-Chun (张丽春)b   

  1. a Department of Physics, Jining Teacher's College, Jining 272025, China; b Department of Physics, Yanbei Normal Institute, Datong 037000, China
  • Received:2003-05-28 Revised:2003-07-30 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No 20001009).

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摘要： By using the method of quantum statistics, we derive directly the partition functions of bosonic and fermionic field in the black hole space－time with different temperatures on horizon surface. The statistical entropy of the black hole is obtained by an improved brick-wall method. When we choose a proper parameter in our results, we can obtain that the entropy of the black hole is proportional to the area of horizon. In our result, there do not exist any neglected term or divergent logarithmic term as given in the original brick-wall method. We have avoided the difficulty in solving the wave equation of the scalar and Dirac field. A simple and direct way of studying entropy of the black hole is given.

Abstract: By using the method of quantum statistics, we derive directly the partition functions of bosonic and fermionic field in the black hole space－time with different temperatures on horizon surface. The statistical entropy of the black hole is obtained by an improved brick-wall method. When we choose a proper parameter in our results, we can obtain that the entropy of the black hole is proportional to the area of horizon. In our result, there do not exist any neglected term or divergent logarithmic term as given in the original brick-wall method. We have avoided the difficulty in solving the wave equation of the scalar and Dirac field. A simple and direct way of studying entropy of the black hole is given.

Key words: quantum statistics, membrane model, statistical entropy, brick-wall method

中图分类号:  (Physics of black holes)

  • 04.70.-s
05.30.Fk (Fermion systems and electron gas) 05.30.Jp (Boson systems) 11.27.+d (Extended classical solutions; cosmic strings, domain walls, texture) 95.30.Cq (Elementary particle processes) 97.60.Lf (Black holes)