{"paper":{"title":"The inner structure of Zeldovich' pancakes","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"astro-ph","authors_text":"D. Fanelli, E. Aurell, S.N. Gurbatov & A.Yu. Moshkov","submitted_at":"2002-10-04T09:50:59Z","abstract_excerpt":"The evolution of a planar perturbation in a Einstein-de Sitter Universe is studied using a previously introduced Lagrangian scheme. An approximate discrete dynamical system is derived, which describes the mass agglomeration process qualitatively. Quantitative predictions for the late density profile are obtained therefrom, and validated by numerical simulations. The main result is a scaling regime for the density profile of a collapsing object of mass $M$ around cosmological coordinate $r^*$, $\\rho(r)\\sim \\frac{M}{d}(\\frac{|r-r^*|}{d})^{-{1/4}}$. The characteristic scale of the agglomeration, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0210111","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"}