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Free keywords:
Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP,
Abstract:
We show that any 3+1-dimensional Milne model is future nonlinearly,
asymptotically stable in the set of solutions to the Einstein-Vlasov system.
For the analysis of the Einstein equations we use the
constant-mean-curvature-spatial-harmonic gauge. For the distribution function
the proof makes use of geometric L^2-estimates based on the Sasaki-metric. The
resulting estimates on the energy momentum tensor are then upgraded by
employing the natural continuity equation for the energy density.
