The Milne model is the only cosmological vacuum solution to Einstein’s equations (with vanishing cosmological constant) that is known to be nonlinearly (future‐) stable due to the work of Andersson‐Moncrief. We present a first generalisation of this result to the nonvacuum case, namely to the Einstein‐Vlasov system.
In particular, we introduce a new idea to combine earlier approaches to control massive collisionless matter in cosmological spacetimes with a physically motivated estimate that is necessary to establish sufficient decay properties of the matter field. This is joint work with Lars Andersson (Golm).
David Fajman (Vienna): Nonvacuum stability of the Milne universe
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