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Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior

Y. Choquet-Bruhat·J. Isenberg·V. Moncrief
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Abstract

We use Fuchsian methods to show that, for any two dimensional manifold $Σ^2$, there is a large family of U(1) symmetric solutions of the vacuum Einstein equations on the manifold $Σ\times S^1 \times \mathbb{R}$, each of which has AVTD behavior in the neighborhood of its singularity.

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Y. Choquet-Bruhat, J. Isenberg, V. Moncrief. 2005-02-24. Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior. https://doi.org/10.1393/ncb%2Fi2004-10174-x

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