{"paper":{"title":"Cosmological Newtonian limits on large spacetime scales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Chao Liu, Todd A. Oliynyk","submitted_at":"2017-11-28T07:02:21Z","abstract_excerpt":"We establish the existence of $1$-parameter families of $\\epsilon$-dependent solutions to the Einstein-Euler equations with a positive cosmological constant $\\Lambda >0$ and a linear equation of state $p=\\epsilon^2 K \\rho$, $0<K\\leq 1/3$, for the parameter values $0<\\epsilon < \\epsilon_0$. These solutions exist globally on the manifold $M=(0,1]\\times \\mathbb{R}^3$, are future complete, and converge as $\\epsilon \\searrow 0$ to solutions of the cosmological Poisson-Euler equations. They represent inhomogeneous, nonlinear perturbations of a FLRW fluid solution where the inhomogeneities are driven"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10896","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"}