Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior
Y. Choquet-Bruhat, J. Isenberg, V. Moncrief
Abstract
We use Fuchsian methods to show that, for any two dimensional manifold Σ2, there is a large family of U(1) symmetric solutions of the vacuum Einstein equations on the manifold Σ× S1 × R, each of which has AVTD behavior in the neighborhood of its singularity.
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