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| VOLUME 86 | ISSUE 3 |
PAGE 179
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| Thermodynamic quantities for gases in static spherically symmetric backgrounds possessing a horizon |
G. Q. Li
Department of Physics, Zhanjiang Normal College, Zhanjiang, 524048 Guangdong, China
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PACS: 04.70.Dy
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Abstract
We use the brick-wall method to study the thermodynamic quantities
for the perfect relativistic gases in a generic spherically symmetric and
static background spacetimes possessing a horizon. We employ the
Wentzel-Kramers-Brillouin (WKB) approximation on the Teukolsky-type master
equation. We show that the entropy density, energy density, pressure and
state equation all contain a subleading term, which depends on the spins of
the particles of gases. When particularizing to Schwarzschild and
Reissner-Nördstrom geometries we recover the results previously found in
the literature for those geometries.
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