Self-similarity breaking of cosmological solutions with collisionless matter

Abstract

In this paper we consider the Einstein-Vlasov system with Bianchi VII${}_0$ symmetry. Under the assumption of small data we show that self-similarity breaking occurs for reflection symmetric solutions. This generalizes the previous work concerning the non-tilted fluid case \cite{WHU} to the Vlasov case, and we obtain detailed information about the late-time behaviour of metric and matter terms.

15 pages

References in corpus (4)

• Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data
• Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry
• Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI${}_0$
• Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI${}_0$

Cited by in corpus (4)

• Kantowski-Sachs cosmology with Vlasov matter
• On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology
• On almost Ehlers-Geren-Sachs theorems
• Future of Bianchi I magnetic cosmologies with kinetic matter