{"paper":{"title":"Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"J. Isenberg, V. Moncrief, Y. Choquet-Bruhat","submitted_at":"2005-02-24T17:16:50Z","abstract_excerpt":"We use Fuchsian methods to show that, for any two dimensional manifold $\\Sigma^2$, there is a large family of U(1) symmetric solutions of the vacuum Einstein equations on the manifold $\\Sigma \\times S^1 \\times \\mathbb{R}$, each of which has AVTD behavior in the neighborhood of its singularity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0502104","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}