{"paper":{"title":"The wave equation near flat Friedmann-Lema\\^itre-Robertson-Walker and Kasner Big Bang singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","math-ph","math.AP","math.MP"],"primary_cat":"gr-qc","authors_text":"Anne T. Franzen, Artur Alho, Grigorios Fournodavlos","submitted_at":"2018-05-31T16:55:59Z","abstract_excerpt":"We consider the wave equation, $\\square_g\\psi=0$, in fixed flat Friedmann-Lema\\^itre-Robertson-Walker and Kasner spacetimes with topology $\\mathbb{R}_+\\times\\mathbb{T}^3$. We obtain generic blow up results for solutions to the wave equation towards the Big Bang singularity in both backgrounds. In particular, we characterize open sets of initial data prescribed at a spacelike hypersurface close to the singularity, which give rise to solutions that blow up in an open set of the Big Bang hypersurface $\\{t=0\\}$. The initial data sets are characterized by the condition that the Neumann data should "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.12558","kind":"arxiv","version":2},"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"}