General relativistic Boltzmann equation, I: Covariant treatment

F. Debbasch and W.A. van Leeuwen

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 7, 1079-1104

Abstract: This series of two articles aims at dissipating the rather dense haze existing in the present literature around the General Relativistic Boltzmann equation. In this first article, the general relativistic one-particle distribution function in phase space is defined as an average of delta functions. Thereupon, the general relativistic Boltzmann equation, to be obeyed by this function, is derived. The use of either contravariant or covariant momenta leads to different, but equivalent, forms of the equation.

Keywords: Distribution function; General relativity; Relativistic statistical physics; Boltzmann-equation; Covariant volume elements; Induced metric (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:7:p:1079-1104

DOI: 10.1016/j.physa.2008.12.023

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