Abstract
The brick-wall method is used to study the thermodynamic quantities for perfect relativistic gases in generic spherically symmetric and static background spacetimes possessing a horizon. The Wentzel-Kramers-Brillouin (WKB) approximation is employed for the Teukolsky-type master equation. It is shown that the entropy density, energy density, pressure, and state equation all contain a subleading term, which depends on the spins of the particles of the gases. When particularizing to the Schwarzschild and Reissner-Nördstrom geometries, the results previously found in the literature for those geometries are recovered.
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References
S. Carlip, Class. Quantum Grav. 17, 4175 (2000).
S. Das, P. Majumdar, and R. K. Bhaduri, Class. Quantum Grav. 19, 2355 (2002).
Z. H. Li, Phys. Rev. D 62, 024001 (2000).
J. L. Jing and M. L. Yan, Phys. Rev. D 63, 084028 (2001).
J. L. Jing and M. L. Yan, Phys. Rev. D 64, 064015 (2001).
Z. H. Li, Phys. Lett. B 643, 64 (2006).
G.’ t Hooft, Nucl. Phys. B 256, 727 (1985).
M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000).
J. Y. Zhang and Z. Zhao, Nucl. Phys. B 725, 173 (2005).
J. Y. Zhang and Z. Zhao, J. High Energy Phys. 10, 055 (2005).
G. Q. Li, Europhys. Lett. 75, 216 (2006).
G. Q. Li, J. Phys. A: Math. Gen. 39, 11 889 (2006).
J. Y. Zhang, Y. P. Hu, and Z. Zhao, Mod. Phys. Lett. A 21, 1865 (2006).
S. W. Hawking, Phys. Rev. D 72, 084013 (2005).
Z. H. Li, Class. Quantum Grav. 21, 1181 (2004).
Z. H. Li, Chin. Phys. Lett. 22, 1321 (2005).
D. G. Boulware, Phys. Rev. D 11, 1404 (1975).
F. Belgiorno and S. Liberati, Phys. Rev. D 53, 3172 (1996).
L. Susskind and J. Uglum, Phys. Rev. D 50, 2700 (1994).
S. Mukohyama and W. Israel, Phys. Rev. D 58, 104 005 (1998).
E. Newman and R. Penrose, J. Math. Phys. 3, 566 (1962).
S. A. Teukolsky and W. H. Press, Astrophys. J. 193, 443 (1974).
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
R. C. Tolman, Relativity, Thermodynamics and Cosmology (Clarendon, Oxford, 1934; Mir, Moscow, 1974).
W. G. Unruh and R. M. Wald, Phys. Rev. D 25, 942 (1982).
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Li, G.Q. Thermodynamic quantities for gases in static spherically symmetric backgrounds possessing a horizon. Jetp Lett. 86, 153–156 (2007). https://doi.org/10.1134/S0021364007150015
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DOI: https://doi.org/10.1134/S0021364007150015