Collapsing in the Einstein flow
Differential Geometry
2018-08-15 v3 General Relativity and Quantum Cosmology
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).
Cite
@article{arxiv.1701.05150,
title = {Collapsing in the Einstein flow},
author = {John Lott},
journal= {arXiv preprint arXiv:1701.05150},
year = {2018}
}
Comments
final version, typos corrected