{"paper":{"title":"$\\Lambda$CDM model with a scalar perturbation vs. preferred direction of the universe","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Hai-Nan Lin, Sai Wang, Xin Li, Zhe Chang","submitted_at":"2013-11-12T04:04:49Z","abstract_excerpt":"We present a scalar perturbation for the $\\Lambda$CDM model, which breaks the isotropic symmetry of the universe. Based on the Union2 data, the least-$\\chi^2$ fit of the scalar perturbed $\\Lambda$CDM model shows that the universe has a preferred direction $(l,b)=(287^\\circ\\pm25^\\circ,11^\\circ\\pm22^\\circ)$. The magnitude of scalar perturbation is about $-2.3\\times10^{-5}$. The scalar perturbation for the $\\Lambda$CDM model implies a peculiar velocity, which is perpendicular to the radial direction. We show that the maximum peculiar velocities at redshift $z=0.15$ and $z=0.015$ equal to $73\\pm28"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3262","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"}