{
  "abstract": "The Kerr stability conjecture has been proved in the slowly rotating case, i.e., $|a|\\ll m$, in the sequence of works \\cite{KS-GCM1} \\cite{KS-GCM2} \\cite{KS:Kerr} by Sergiu Klainerman and the author, \\cite{GKS22} by Elena Giorgi, Sergiu Klainerman and the author, and \\cite{Shen} by Dawei Shen, and extended in \\cite{Sze}, by the author, to the full subextremal range $|a|<m$, thereby completing the proof of the Kerr stability conjecture. The proof in \\cite{Sze} crucially relies on the two companion papers \\cite{MaSz24} \\cite{MaSz26} by Siyuan Ma and the author, in which we prove energy-Morawetz estimates respectively for the scalar wave equation and for Teukolsky equations on perturbations of Kerr with $|a|<m$. In addition, two results in \\cite{Sze}, concerning the derivation of the Teukolsky wave-transport system in perturbations of Kerr and energy-Morawetz estimates for Teukolsky in the setting of \\cite{Sze}, are stated without proofs. The goal of the present paper companion paper to \\cite{Sze} is to provide the proof of these two results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.40315",
  "author_total": 1,
  "authors": [
    {
      "name": "Jérémie Szeftel"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7fv56tsmb6mjx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.40315",
  "fulltext_url": null,
  "id": "7fv56tsmb6mjx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.40315",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
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      "arxiv",
      "math.MP"
    ],
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      "openalex",
      "3106|Black Holes and Theoretical Physics"
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  ],
  "openalex": "W7215122239",
  "pdf_url": "https://arxiv.org/pdf/2609.40315",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7fv56tsmb6mjx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.40315",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.40315"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Teukolsky equations in perturbations of Kerr",
  "title_text": "Teukolsky equations in perturbations of Kerr",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/7fv56tsmb6mjx",
  "venue": "arXiv",
  "versions": []
}