2006/03/31 by Peter Collas, David Klein · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #Statistical Mechanics and Entropy #gr-qc
paper · pdf · doi:10.1007/s10714-007-0416-4
published as Gen.Rel.Grav.39:737-755,2007 · Corrected an equation misprint, added four references, and brief comments on the system's center of mass and the thermodynamic limit
arxiv created 2007/02/16 · openalex publication_date 2007/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.