Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Half polarized U(1) symmetric vacuum spacetimes with AVTD behavior   In a previous work, we used a polarization condition to show that there is a
family of U(1) symmetric solutions of the vacuum Einstein equations such that
each exhibits AVTD (Asymptotic Velocity Term Dominated) behavior in the
neighborhood of its singularity. Here we consider the general case of U(1)
bundles and determine a condition, called the half polarization condition,
necessary and sufficient in our context, for AVTD behavior near the
singularity.

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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th