Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations
نویسندگان
چکیده
We investigate the dynamics of spatially homogeneous solutions of the EinsteinVlasov equations with Bianchi type I symmetry by using dynamical systems methods. All models are forever expanding and isotropize toward the future; toward the past there exists a singularity. We identify and describe all possible past asymptotic states; in particular, on the past attractor set we establish the existence of a heteroclinic network, which is a new type of feature in general relativity. This illustrates among other things that Vlasov matter can lead to quite different dynamics of cosmological models as compared to perfect fluids. PACS numbers: 04.20.Dw, 98.80.Bp ∗Electronic address: [email protected] †Electronic address: [email protected]
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