General relativistic Boltzmann equation

Ismaël Bailleul (1) , Fabrice Debbasch (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LERMA - Laboratoire d'Etude du Rayonnement et de la Matière en Astrophysique

A new probabilistic approach to general relativistic kinetic theory is proposed. The general relativistic Boltzmann equation is linked to a new Markov process in a completely intrinsic way. This treatment is then used to prove the causal character of the relativistic Boltzmann model.

Mots clés: probability; Boltzmann equation; general relativity; Markov process

Domaines: Equations aux dérivées partielles [math.AP]

Ismaël Bailleul, Fabrice Debbasch. General relativistic Boltzmann equation. Classical and Quantum Gravity, 2012, 29 (6), 10 p. ⟨10.1088/0264-9381/29/6/065020⟩. ⟨hal-00771861⟩