Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collapsing in the Einstein flow   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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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th