Asymptotic stability of the relativistic Boltzmann equation on Bianchi type I space-time with a hard potential

In this paper, we study the Cauchy problem for the spatially homogeneous relativistic Boltzmann equation with small initial data in the Bianchi type I space-time. For a certain class of scattering kernels and under some conditions on the metric, we obtain the existence and uniqueness of a global (in time) classical solution. We also study the L2-stability of solutions.