中国物理B ›› 2007, Vol. 16 ›› Issue (12): 3610-3615.doi: 10.1088/1009-1963/16/12/010

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Finite entropy of Schwarzschild anti-de sitter black hole in different coordinates

丁持坤, 荆继良   

  1. Institute of Physics, Hunan Normal University, Key Laboratory of Quantum Structures andQuantum Control (Hunan Normal University), Ministry of Education, Changsha 410081, China
  • 出版日期:2007-12-20 发布日期:2007-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10675045) and the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200317) and the SRFDP (Grant No 20040542003).

Finite entropy of Schwarzschild anti-de sitter black hole in different coordinates

Ding Chi-Kun(丁持坤) and Jing Ji-Liang(荆继良)†   

  1. Institute of Physics, Hunan Normal University, Key Laboratory of Quantum Structures andQuantum Control (Hunan Normal University), Ministry of Education, Changsha 410081, China
  • Online:2007-12-20 Published:2007-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10675045) and the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200317) and the SRFDP (Grant No 20040542003).

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摘要： This paper studies the finite statistical-mechanical entropy of the Schwarzschild anti-de Sitter (AdS) spacetime arising from quantum massless scalar field by using the `brick wall' approach in the Painlev\'e and Lemaitre coordinates. At first glance, it seems that the results would be different from that in the Schwarzschild-like coordinate since both the Painlev\'e and the Lemaitre spacetimes do not possess the event horizon obviously. However, this paper proves that the entropies in these coordinates are exactly equivalent to that in the Schwarzschild-like coordinate.

关键词: black hole, entropy, Painlev\'e coordinate, Lemaitre coordinate

Abstract: This paper studies the finite statistical-mechanical entropy of the Schwarzschild anti-de Sitter (AdS) spacetime arising from quantum massless scalar field by using the `brick wall' approach in the Painlevé and Lemaitre coordinates. At first glance, it seems that the results would be different from that in the Schwarzschild-like coordinate since both the Painlev\'e and the Lemaitre spacetimes do not possess the event horizon obviously. However, this paper proves that the entropies in these coordinates are exactly equivalent to that in the Schwarzschild-like coordinate.

Key words: black hole, entropy, Painlevé coordinate, Lemaitre coordinate

中图分类号:  (Physics of black holes)

  • 04.70.-s
97.60.Lf (Black holes)