The Boltzmann equation in special and general relativity
Statistical Mechanics
2015-06-05 v2 General Relativity and Quantum Cosmology
Abstract
Relativistic field equations for a gas in special and general relativity are determined from the Boltzmann equation. The constitutive equations are obtained from the Chapman-Enskog methodology applied to a relativistic model equation proposed by Anderson and Witting. Two applications in general relativity are considered: one refers to a gas in a homogeneous and isotropic Universe where irreversible processes are present during its evolution; in the other it is analyzed a gas under the influence of a spherically symmetrical non-rotating and uncharged source of the gravitational field.
Cite
@article{arxiv.1207.3977,
title = {The Boltzmann equation in special and general relativity},
author = {Gilberto M. Kremer},
journal= {arXiv preprint arXiv:1207.3977},
year = {2015}
}
Comments
8 pages, contributed paper at the 28th International Symposium on Rarefied Gas Dynamics (Zaragoza, Spain, July 9-13, 2012) correction: eqs. (40), (42) and (43)