{"paper":{"title":"Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Satoshi Adachi, Takashi Hara, Tatsuhiko Koike","submitted_at":"1995-03-06T11:14:49Z","abstract_excerpt":"A scenario is presented, based on renormalization group (linear perturbation) ideas, which can explain the self-similarity and scaling observed in a numerical study of gravitational collapse of radiation fluid. In particular, it is shown that the critical exponent $\\beta$ and the largest Lyapunov exponent ${\\rm Re\\, } \\kappa$ of the perturbation is related by $\\beta= ({\\rm Re\\, } \\kappa) ^{-1}$. We find the relevant perturbation mode numerically, and obtain a fairly accurate value of the critical exponent $\\beta \\simeq 0.3558019$, also in agreement with that obtained in numerical simulation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9503007","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"}