Finite entropy of Schwarzschild anti-de sitter black hole in different coordinates |
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| Authors: | Ding Chi-Kun and Jing Ji-Liang |
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| Affiliation: | Institute of Physics, Hunan Normal University, Key Laboratory of Quantum Structures andQuantum Control (Hunan Normal University), Ministry of Education, Changsha 410081, China |
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| 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
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. |
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| Keywords: | black hole entropy Painlev\'e
coordinate Lemaitre coordinate |
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