Temperature oscillations of a gas in circular geodesic motion in the Schwarzschild field

Abstract

We investigate a Boltzmann gas at equilibrium with its center of mass moving on a circular geodesics in the Schwarzschild field. As a consequence of Tolman's law we find that a central comoving observer measures oscillations of the temperature and of other thermodynamic quantities with twice the frequencies that are known from test-particle motion. We apply this scheme to the gas dynamics in the gravitational fields of the planets of the Solar System as well as to strong-field configurations of neutron stars and black holes.

arXiv comment11 pages, 4 figures, matches published version

References in corpus (2)

• A Statistical Mechanical Problem in Schwarzschild Spacetime
• Twin peak quasi-periodic oscillations and the kinematics of orbital motion in a curved space-time

Cited by in corpus (4)

• Self-gravitating systems of ideal gases in the 1PN approximation
• Mixtures of relativistic gases in gravitational fields: combined Chapman-Enskog and Grad method and the Onsager relations
• On the Applicability of the Geodesic Deviation Equation in General Relativity
• Temperature oscillations of a gas moving close to circular geodesic in Reissner-Nordström spacetime