The initial singularity in solutions of the Einstein–Vlasov system of Bianchi 
type I

Rendall, Alan D.

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The initial singularity in solutions of the Einstein–Vlasov system of Bianchi type I

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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. (1996). The initial singularity in solutions of the Einstein–Vlasov system of Bianchi type I. Journal of Mathematical Physics, 37(1), 438-451.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5B60-9

Abstract

The dynamics of solutions of the Einstein–Vlasov system with Bianchi I symmetry is discussed in the case of massive or massless particles. It is shown that in the case of massive particles the solutions are asymptotic to isotropic dust solutions at late times. The initial singularity is more difficult to analyze. It is shown that the asymptotic behavior there must be one of a small set of possibilities, but it is not clear whether all of these possibilities are realized. One solution is exhibited in the case of massless particles, which behaves quite differently near the singularity from any Bianchi I solution with perfect fluid as a matter model. In particular, the matter is not dynamically negligible near the singularity for this solution.