A Statistical Mechanical Problem in Schwarzschild Spacetime
arXiv:gr-qc/0603086 · doi:10.1007/s10714-007-0416-4
Abstract
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.
Corrected an equation misprint, added four references, and brief comments on the system's center of mass and the thermodynamic limit
References in corpus (3)
Cited by in corpus (12)
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- Timelike Killing Fields and Relativistic Statistical Mechanics
- Grand canonical ensembles in general relativity
- All order covariant tubular expansion
- Fermi Normal Coordinates and Fermion Curvature Couplings in General Relativity
- An extension of Poincaré group based on generalized Fermi-Walker coordinates
- Temperature oscillations of a gas moving close to circular geodesic in Reissner-Nordström spacetime
- General Construction of Tubular Geometry