{"paper":{"title":"Correspondence between grey-body factors and quasinormal modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Grey-body factors of spherically symmetric black holes can be expressed directly in terms of their quasinormal modes, exactly in the high-frequency limit.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Zhidenko, R. A. Konoplya","submitted_at":"2024-06-17T16:11:19Z","abstract_excerpt":"Quasinormal modes and grey-body factors are spectral characteristics corresponding to different boundary conditions: the former imply purely outgoing waves to the event horizon and infinity, while the latter allow for an incoming wave from the horizon, thus describing a scattering problem. Nevertheless, we show that there is a link between these two characteristics. We establish an approximate correspondence between the quasinormal modes and grey-body factors, which becomes exact in the high-frequency (eikonal) regime. We show that, in the eikonal regime, the grey-body factors of spherically s"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We establish an approximate correspondence between the quasinormal modes and grey-body factors, which becomes exact in the high-frequency (eikonal) regime. We show that, in the eikonal regime, the grey-body factors of spherically symmetric black holes can be remarkably simply expressed via the fundamental quasinormal mode, while at smaller ℓ, the correction terms include values of the overtones.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The derivation relies on the validity of the eikonal (high-frequency) approximation and the assumption that the effective potential permits a direct mapping between the outgoing-wave boundary conditions of quasinormal modes and the scattering boundary conditions of grey-body factors without significant higher-order corrections outside that limit.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"In the eikonal regime, grey-body factors of spherically symmetric black holes can be expressed directly via the fundamental quasinormal mode, with overtones entering as corrections at lower frequencies.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Grey-body factors of spherically symmetric black holes can be expressed directly in terms of their quasinormal modes, exactly in the high-frequency limit.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"0ee77e68a24ef6b95749df852731e3cc3119da4855a6ee5d7b7666c4d783b001"},"source":{"id":"2406.11694","kind":"arxiv","version":2},"verdict":{"id":"f7c64670-785a-4bb7-b2f1-0ac06e310573","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T19:30:37.961474Z","strongest_claim":"We establish an approximate correspondence between the quasinormal modes and grey-body factors, which becomes exact in the high-frequency (eikonal) regime. We show that, in the eikonal regime, the grey-body factors of spherically symmetric black holes can be remarkably simply expressed via the fundamental quasinormal mode, while at smaller ℓ, the correction terms include values of the overtones.","one_line_summary":"In the eikonal regime, grey-body factors of spherically symmetric black holes can be expressed directly via the fundamental quasinormal mode, with overtones entering as corrections at lower frequencies.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The derivation relies on the validity of the eikonal (high-frequency) approximation and the assumption that the effective potential permits a direct mapping between the outgoing-wave boundary conditions of quasinormal modes and the scattering boundary conditions of grey-body factors without significant higher-order corrections outside that limit.","pith_extraction_headline":"Grey-body factors of spherically symmetric black holes can be expressed directly in terms of their quasinormal modes, exactly in the high-frequency limit."},"references":{"count":18,"sample":[{"doi":"","year":2011,"title":"R. A. Konoplya and A. Zhidenko. Quasinormal modes of blac k holes: From astrophysics to string theory. Rev. Mod. Phys. , 83:793–836, 2011","work_id":"2406cf3a-1378-4fb3-ba4d-42a62c20842a","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1999,"title":"Kokkotas and Bernd G","work_id":"090dfb87-7d7c-43cf-9875-01e9bf333775","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"Greybody factors imprinted on black ho le ringdowns: An alternative to superposed quasinormal modes","work_id":"253ae314-e2be-410b-8394-7b598bd4b433","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"Ringdown stability: greybody factors as stable gravitational-wave observables","work_id":"b22b75ed-1ce7-48e0-b2fe-5e0a10012a9a","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"(In)stability of the black hole greybody factors and ringdowns against a small-bump correc tion","work_id":"861f9756-914d-4c3b-a0c4-8d3c890c800e","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":18,"snapshot_sha256":"b0bcea2f962e43a2c55e1d11eb2e7e31d32afb10cf4bf73b7cdcb958fe169c4a","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"c324dc751ea8ce7d153777dcd233aa7d2fd4e0bfa1b9154d8cbc565c17b79388"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}