{"paper":{"title":"Structure of solutions near the initial singularity for the surface-symmetric Einstein-Vlasov system","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Sophonie Blaise Tchapnda","submitted_at":"2004-07-16T08:00:07Z","abstract_excerpt":"Results on the behaviour in the past time direction of cosmological models with collisionless matter and a cosmological constant $\\Lambda$ are presented. It is shown that under the assumption of non-positive $\\Lambda$ and spherical or plane symmetry the area radius goes to zero at the initial singularity. Under a smallness assumption on the initial data, these properties hold in the case of hyperbolic symmetry and negative $\\Lambda$ as well as in the positive $\\Lambda$ case. Furthermore in the latter cases past global existence of spatially homogeneous solutions is proved for generic initial d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0407062","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"}