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Phys. Rev. D 65, 084043 (2002) [5 pages]

Relation between black hole entropy and quantum field spin

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Chang-Jun Gao
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China

You-Gen Shen*
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100012, China
Institute of Theoretical physics, Chinese Academy of Sciences, Beijing 100080, China

Received 20 July 2001; published 9 April 2002

Starting from the master equations of governing arbitrary spin fields, we calculate the free energy of spherically symmetric space-time due to arbitrary spin fields. Then we study the entropy of seven kinds of static space-times. The result shows that there is a linear relation between nonextreme black hole entropy and quantum field spin. Taking into account the degeneracy due to spin, we have a direct proportion relation between nonextreme black hole entropy and quantum field degeneracy. As for the extreme black hole, we find that its entropy is zero.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.084043
DOI:
10.1103/PhysRevD.65.084043
PACS:
04.70.Dy, 04.62.+v

*Email address: ygshen@center.shao.ac.cn

 
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