中国物理B ›› 2009, Vol. 18 ›› Issue (2): 451-456.doi: 10.1088/1674-1056/18/2/013

• GENERAL • 上一篇    下一篇

Information entropy for static spherically symmetric black holes

蒋继建, 李传安   

  1. Department of Physics, Heze University, Heze 274015, China
  • 收稿日期:2008-07-11 修回日期:2008-08-21 出版日期:2009-02-20 发布日期:2009-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10773002).

Information entropy for static spherically symmetric black holes

Jiang Ji-Jian(蒋继建) and Li Chuan-An(李传安)†   

  1. Department of Physics, Heze University, Heze 274015, China
  • Received:2008-07-11 Revised:2008-08-21 Online:2009-02-20 Published:2009-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10773002).

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摘要： By using the new equation of state density derived from the generalized uncertainty relation, the number of the quantum states near event horizon is obtained, with which then the information entropy of static spherically symmetric black holes has been discussed. It is found that the divergent integral of quantum states near the event horizon can be naturally avoided if using the new equation of state density without introducing the ultraviolet cut-off. The information entropy of black holes can be obtained precisely by the residue theorem, which is shown to be proportional to the horizon area. The information entropy of black holes obtained agrees with the Bechenstein--Hawking entropy when the suitable cutoff factor is adopted.

Abstract: By using the new equation of state density derived from the generalized uncertainty relation, the number of the quantum states near event horizon is obtained, with which then the information entropy of static spherically symmetric black holes has been discussed. It is found that the divergent integral of quantum states near the event horizon can be naturally avoided if using the new equation of state density without introducing the ultraviolet cut-off. The information entropy of black holes can be obtained precisely by the residue theorem, which is shown to be proportional to the horizon area. The information entropy of black holes obtained agrees with the Bechenstein--Hawking entropy when the suitable cutoff factor is adopted.

Key words: black hole, event horizon, generalized uncertainty relation, information entropy

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

  • 04.70.Dy
97.60.Lf (Black holes)