Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter

Abstract

It is shown that the generalized Collins--Stewart radiation and Milne solutions are attractors of the massless Einstein--Vlasov system for Bianchi types II and V spacetimes, respectively. The proof is based on an energy method and bootstrap argument which are used to determine the decay rates of the perturbations away from the attractors.

arXiv commentSome minor typos are corrected in the new version

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• Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lemaître-Robertson-Walker models
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• Future of Bianchi I magnetic cosmologies with kinetic matter
• Bianchi cosmologies in a Thurston-based theory of gravity