Nernst Theorem and Statistical Entropy of
5-Dimensional Rotating Black Hole |
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Authors: | ZHAO Ren WU Yue-Qin ZHANG Li-Chun |
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Institution: | 1. Department of Physics, Yanbei Normal Institute, Datong 037000,
China
;2. Beijing Institute of Machinery, Beijing 100085, China |
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Abstract: | In this paper, by using quantum statistical method, we obtain the
partition function of Bose field and Fermi field on the background
of the 5-dimensional rotating black hole. Then via the improved
brick-wall method and membrane model, we calculate the entropy of
Bose field and Fermi field of the black hole. And it is obtained that the entropy of the black hole is not only related to the area of the outer horizon but also is the function of inner horizon's area. In our results, there are not the left out term
and the divergent logarithmic term in the original brick-wall
method. The doubt that why the entropy of the scalar or Dirac
field outside the event horizon is the entropy of the black hole
in the original brick-wall method does not exist. The influence of
spinning degeneracy of particles on entropy of the black hole is
also given. It is shown that the entropy determined by
the areas of the inner and outer horizons will approach zero, when the
radiation temperature of the black hole approaches absolute zero.
It satisfies Nernst theorem. The entropy can be taken as the
Planck absolute entropy. We provide a way to study higher
dimensional black hole. |
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Keywords: | quantum statistics membrane model entropy of black hole 5-dimensional rotating black hole |
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