Exact solutions of the relativistic Boltzmann equation in the relaxation time approximation

Abstract

This Thesis concentrates on the analysis of coupled RTA (relaxation time approximation) kinetic equations for bosons and fermions. Bosons are treated as massless particles, while fermions have a finite mass. Using analytic and numerical methods we find exact solutions for such a mixture in the case of one-dimensional, boost-invariant expansion (for systems which are transversally homogeneous). In this way, several earlier results obtained for one-component systems and classical particles are generalized.