Late-Time Behaviour of Israel Particles in a FLRW Spacetime with Λ>0

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Date
2016-10MFO Scientific Program
Research in Pairs 2016Series
Oberwolfach Preprints;2016,19Author
Lee, Ho
Nungesser, Ernesto
Metadata
Show full item recordOWP-2016-19
Abstract
In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW space-time. We consider Israel particles, which are the relativistic counterpart of the Maxwellian particles, and obtain global-in-time existence and the asymptotic behaviour of solutions. The main argument of the paper is to use the energy method of Guo, and we observe that the method can be applied to study small solutions in a cosmological case. It is the first result of this type where a physically well-motivated scattering kernel is considered for the general relativistic Boltzmann equation.