Gowdy vacuum spacetimes have AVTD-like initial geometry in any dimension when measured in an H^{-1} Sobolev norm, and noncollapsed type-I CMC flows with nonpositive scalar curvature have Kasner-like limits or many disjoint causal pasts.
Numerical investigation of cosmolog ical singularities
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On the initial geometry of a vacuum cosmological spacetime
Gowdy vacuum spacetimes have AVTD-like initial geometry in any dimension when measured in an H^{-1} Sobolev norm, and noncollapsed type-I CMC flows with nonpositive scalar curvature have Kasner-like limits or many disjoint causal pasts.