A Statistical Mechanical Problem in Schwarzschild Spacetime

Details A Statistical Mechanical Problem in Schwarzschild Spacetime A Statistical Mechanical Problem in Schwarzschild Spacetime

2006-03-21

arxiv.org/abs/gr-qc/0603086v3

Gen.Rel.Grav.39:737-755,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Corrected an equation misprint, added four references, and brief comments on the system's center of mass and the thermodynamic

Scientific paper

10.1007/s10714-007-0416-4

We use Fermi coordinates to calculate the canonical partition function for an ideal gas in a circular geodesic orbit in Schwarzschild spacetime. To test the validity of the results we prove theorems for limiting cases. We recover the Newtonian gas law subject only to tidal forces in the Newtonian limit. Additionally we recover the special relativistic gas law as the radius of the orbit increases to infinity. We also discuss how the method can be extended to the non ideal gas case.

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