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

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

2005-12-05

arxiv.org/abs/gr-qc/0512031v1

Class.Quant.Grav. 23 (2006) 3463-3490

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, 7 figures

Scientific paper

10.1088/0264-9381/23/10/016

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.

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