{"paper":{"title":"Born--Infeld gravitation: Spherically symmetric static solutions","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"quant-ph","authors_text":"Chicago IL), Dmitriy Palatnik (SMG Marketing Group","submitted_at":"1997-01-15T00:36:17Z","abstract_excerpt":"In this paper attention is focused on gravitational sector of the Born--Infeld theory, suggested in quant-ph/9608014. Vacuum equations for gravitational field are derived. The asymptotic for modified Schwarzschild solution is obtained, as a decomposition in parameter $L \\approx 10^{-32}$ cm. It is shown, that singularity at $r = 0$ is absent, being replaced by a `ball of matter' with finite dimensions, such that density of matter is of order of magnitude of the Planck's density. Another solution of the same symmetry is obtained, corresponding to a closed space of finite volume of order $L^3$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/9701017","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"}