Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations

Details Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations

2000-05-25

arxiv.org/abs/gr-qc/0005116v1

Class.Quant.Grav. 17 (2000) 4697-4714

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 2 figures

Scientific paper

10.1088/0264-9381/17/22/310

The dynamics of the Einstein-Vlasov equations for a class of cosmological models with four Killing vectors is discussed in the case of massive particles. It is shown that in all models analysed the solutions with massive particles are asymptotic to solutions with massless particles at early times. It is also shown that in Bianchi types I and II the solutions with massive particles are asymptotic to dust solutions at late times. That Bianchi type III models are also asymptotic to dust solutions at late times is consistent with our results but is not established by them.

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