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General relativistic Boltzmann equation, II: Manifestly covariant treatment

Author

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  • Debbasch, F.
  • van Leeuwen, W.A.

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.

Suggested Citation

  • Debbasch, F. & van Leeuwen, W.A., 2009. "General relativistic Boltzmann equation, II: Manifestly covariant treatment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1818-1834.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:9:p:1818-1834
    DOI: 10.1016/j.physa.2009.01.009
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    References listed on IDEAS

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    1. Debbasch, F. & Rivet, J.P. & van Leeuwen, W.A., 2001. "Invariance of the relativistic one-particle distribution function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 181-195.
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