{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"670cd18643f5e699ad0f6e6f0e8d5637795cff263f9849d62079a7b60a76af0b","created":"2026-10-03T07:18:04Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"fc9901f3dcd42cb03851e175782f97350a514bd228aad478787b97ea4bc94109","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"proof","assisted_by":[],"external_id":"grav.kerr-stability.subextremal-nonlinear","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Proofs that a spinning black hole is stable appeared only in 2021-2022, and only for slow spin. In June and September 2026 two independent proofs were posted that cover every spin below the maximum, and these await verification.","posed_since":"","precise":"Prove that the maximal development of asymptotically flat vacuum data close to subextremal $\\operatorname{Kerr}(a_0, M_0), \\mid a_0\\mid < M_0$, has complete future null infinity and a domain of outer communication converging to a nearby $\\operatorname{Kerr}(a_f, M_f)$. Residual question: confirm the 2026 proofs and close the gap between their data classes (structured data with polyhomogeneous expansions plus an O(r^-3-eps) remainder in one, structureless O(r^-3/2-delta) decay in the other).","problem_ref":null,"references":"","settled_by":"Refereed acceptance of a proof for $\\mid a \\mid < M$ covering initial data with the physically expected decay rate.","status_note":"Hintz (arXiv:2606.28253, June 2026) and Szeftel (arXiv:2609.40068, September 2026) posted proofs for $\\left|a\\right| < M$; both are unrefereed preprints as of October 2026.","title":"Nonlinear stability of Kerr for all spins below extremal","topic_ref":"be2aa7f5f2ad85604c5d4874af362613267361a54ca383af83a420f7d1ef76b3"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"f07e9880fa2bc324dc960d737b39687f2efb1327daf061247d8a604cc60218a3","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"a2194f8e15a10ea9fe77215f7f6a26b0bce305b7a8c3b73e416d003280efb91c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"4Z-MPLp3eYqH6h5_kKBp8diAB4wHyrrMTKkMcFcIBNv84yH83GAh1UH2JyvvijZEthcvPorPQEPVPBMawm48CA"},"schema":"pubphys.envelope/1"},"record_hash":"f07e9880fa2bc324dc960d737b39687f2efb1327daf061247d8a604cc60218a3","leaf_index":1487}