We study the global properties of the solutions for the initial value problem for the Einstein-Boltzmann system with positive cosmological constant and arbitrarily large initial data, in the spatially homogeneous case, in a Robertson-Walker space-time.
"Global properties of the solutions to the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time." Commun. Math. Sci. 7 (2) 399 - 410, June 2009.