{"paper":{"title":"Upper Limit on the Central Density of Dark Matter in the Eddington inspired Born-Infield (EiBI) Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alexander A. Potapov, Alexander I. Filippov, Kamal K. Nandi, Mithun Ghosh, Ramil Izmailov","submitted_at":"2015-06-11T06:59:26Z","abstract_excerpt":"We investigate the stability of circular material orbits in the analytic galactic metric recently derived by Harko \\textit{et al.} (2014). It turnsout that stability depends more strongly on the dark matter central density $%\\rho_{0}$ than on other parameters of the solution. This property then yields an upper limit on $\\rho _{0}$ for each individual galaxy, which we call here $\\rho _{0}^{\\text{upper}}$, such that stable circular orbits are possible \\textit{only} when the constraint $\\rho _{0}\\leq \\rho _{0}^{\\text{upper}}$ is satisfied. This is our new result. To approximately quantify the upp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04023","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"}