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

Rendall, Alan D.; Uggla, Claes

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

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rendall, A. D., & Uggla, C. (2000). Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations. Classical and Quantum Gravity, 17, 4697-4714.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5780-3

Abstract

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.