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The nonvacuum Einstein flow on surfaces of nonnegative curvature

The nonvacuum Einstein flow on surfaces of nonnegative curvature

We prove future nonlinear stability of homogeneous solutions to the Einstein–Vlasov system with massive particles on manifolds with topology M = ℝ×Σ, where Σ is either 𝕊2 or 𝕋2. For the sphere this implies the existence of an open subset of the initial data manifold with elements of strictly positive …