Late-time behaviour of Israel particles in a FLRW spacetime with Λ>0

2016/09/12 by Ho Lee, Lee, Ho, Ernesto Nungesser +1
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph) #Solar and Space Plasma Dynamics

paper · pdf · doi:10.48550/arxiv.1609.03256

openalex publication_date 2016/09/12 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW spacetime. 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.

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