General relativistic Boltzmann equation, II: Manifestly covariant treatment

F. Debbasch and W.A. van Leeuwen

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 9, 1818-1834

Abstract: In a preceding article we presented a general relativistic treatment of the derivation of the Boltzmann equation. The four-momenta occurring in this formalism were all on-shell four-momenta, verifying the mass-shell restriction p2=m2c2. Due to this restriction, the resulting Boltzmann equation, although covariant, turned out to be not manifestly covariant. In the present article we switch from mass-shell momenta to off-shell momenta, and thereby arrive at a Boltzmann equation that is manifestly covariant.

Keywords: Off-shell relativistic distribution function; General relativity; Relativistic statistical physics; Off-shell Boltzmann equation (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:9:p:1818-1834

DOI: 10.1016/j.physa.2009.01.009

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