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| In this talk we study the Einstein-Boltzmann system in the Robertson-Walker or the Bianchi type I spacetimes. We first assume that a spatially flat Robertson-Walker spacetime is given, and then show that classical solutions of the Boltzmann equation exist globally in time and have a certain asymptotic behaviour. To obtain differentiability of solutions of the Boltzmann equation we apply the splitting argument of Guo and Strain. This result is extended to the Einstein-Boltzmann case. The Robertson-Walker models are generalized to the Bianchi models of type I, and the results are extended to the case of Bianchi type I. |
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