{"paper":{"title":"Wyman's solution, self-similarity and critical behaviour","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"F. I. Takakura, G. Oliveira-Neto","submitted_at":"2003-09-19T14:48:59Z","abstract_excerpt":"We show that the Wyman's solution may be obtained from the four-dimensional Einstein's equations for a spherically symmetric, minimally coupled, massless scalar field by using the continuous self-similarity of those equations. The Wyman's solution depends on two parameters, the mass $M$ and the scalar charge $\\Sigma$. If one fixes $M$ to a positive value, say $M_0$, and let $\\Sigma^2$ take values along the real line we show that this solution exhibits critical behaviour. For $\\Sigma^2 >0$ the space-times have eternal naked singularities, for $\\Sigma^2 =0$ one has a Schwarzschild black hole of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0309099","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"}