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arXiv · 1701.05150

Collapsing in the Einstein flow

John Lott
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Abstract

We consider expanding vacuum spacetimes with a CMC foliation by compact spacelike hypersurfaces. Under scale invariant a priori geometric bounds (type-III), we show that there are arbitrarily large future time intervals that are modelled by a flat spacetime or a Kasner spacetime. We give related results for a class of expanding vacuum spacetimes that do not satisfy the a priori bounds (type-II).

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John Lott. 2017-01-18. Collapsing in the Einstein flow. https://doi.org/10.1007/s00023-018-0685-3

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