Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations

Abstract

We investigate the dynamics of spatially homogeneous solutions of the Einstein-Vlasov 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.

28 pages, 7 figures

References in corpus (3)

• The Einstein-Vlasov system/Kinetic theory
• Asymptotic silence-breaking singularities
• Conformal regularization of Einstein's field equations

Cited by in corpus (19)

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