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)†
Institute of Physics, Hunan Normal University, Key Laboratory of Quantum Structures andQuantum Control (Hunan Normal University), Ministry of Education, Changsha 410081, China
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.
Fund: 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).
Cite this article:
Ding Chi-Kun(丁持坤) and Jing Ji-Liang(荆继良) Finite entropy of Schwarzschild anti-de sitter black hole in different coordinates 2007 Chinese Physics 16 3610
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