{"paper":{"title":"Polytropic configurations with non-zero cosmological constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"G.S. Bisnovatyi-Kogan, M. Merafina, S.O. Tarasov","submitted_at":"2011-02-04T17:06:44Z","abstract_excerpt":"We solve the equation of the equilibrium of the gravitating body, with a polytropic equation of state of the matter $P=K\\rho^{\\gamma}$, with $\\gamma=1+1/n$, in the frame of the Newtonian gravity, with non-zero cosmological constant $\\Lambda$. We consider the cases with $n=1,\\,\\,1.5,\\,\\,3$ and construct series of solutions with a fixed value of $\\Lambda$. For each value of $n$, the non-dimensional equation of the static equilibrium has a family of solutions, instead of the unique solution of the Lane-Emden equation at $\\Lambda=0$. The equilibrium state exists only for central densities $\\rho_0$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0972","kind":"arxiv","version":4},"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"}