{"work":{"id":"6bb35e3f-6c80-431d-9cc6-471b319d8366","openalex_id":null,"doi":null,"arxiv_id":"gr-qc/9402041","raw_key":null,"title":"Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid","authors":null,"authors_text":"C","year":1994,"venue":"gr-qc","abstract":"We observe critical phenomena in spherical collapse of radiation fluid. A sequence of spacetimes $\\cal{S}[\\eta]$ is numerically computed, containing models ($\\eta\\ll 1$) that adiabatically disperse and models ($\\eta\\gg 1$) that form a black hole. Near the critical point ($\\eta_c$), evolutions develop a self-similar region within which collapse is balanced by a strong, inward-moving rarefaction wave that holds $m(r)/r$ constant as a function of a self-similar coordinate $\\xi$. The self-similar solution is known and we show near-critical evolutions asymptotically approaching it. A critical exponent $\\beta \\simeq 0.36$ is found for supercritical ($\\eta>\\eta_c$) models.","external_url":"https://arxiv.org/abs/gr-qc/9402041","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-10T02:26:42.996568+00:00","pith_arxiv_id":"gr-qc/9402041","created_at":"2026-05-10T01:04:50.464328+00:00","updated_at":"2026-07-10T02:26:42.996568+00:00","title_quality_ok":true,"display_title":"Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid","render_title":"Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid"},"hub":{"state":{"work_id":"6bb35e3f-6c80-431d-9cc6-471b319d8366","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":15,"external_cited_by_count":null,"distinct_field_count":3,"first_pith_cited_at":"2020-06-03T17:57:28+00:00","last_pith_cited_at":"2026-07-09T17:39:27+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-08-23T04:59:55.563378+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":7}],"polarity_counts":[{"context_polarity":"background","n":5},{"context_polarity":"support","n":1},{"context_polarity":"unclear","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}