{"paper":{"title":"Complete conformal classification of the Friedmann-Lemaitre-Robertson-Walker solutions with a linear equation of state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"B. J. Carr, Takahisa Igata, Tomohiro Harada","submitted_at":"2018-01-06T04:52:28Z","abstract_excerpt":"We completely classify Friedmann-Lema\\^{i}tre-Robertson-Walker solutions with spatial curvature $K=0,\\pm 1$ and equation of state $p=w\\rho$, according to their conformal structure, singularities and trapping horizons. We do not assume any energy conditions and allow $\\rho < 0$, thereby going beyond the usual well-known solutions. For each spatial curvature, there is an initial spacelike big-bang singularity for $w>-1/3$ and $\\rho>0$, while no big-bang singularity for $w<-1$ and $\\rho>0$. For $K=0$ or $-1$, $-1<w<-1/3$ and $\\rho>0$, there is an initial null big-bang singularity. For each spatia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01966","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"}