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Teukolsky equations in perturbations of Kerr — arXiv:2609.40315

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.40315
License (as archived): CC0-1.0
Archived: 2026-10-07T15:56:10.103Z
SHA-256 of the archived text: e4a67c6cff50ccb8e814ba3ee2daeb012e23bd7288f9317f51659d73fa2c83c0
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Teukolsky equations in perturbations of Kerr — arXiv:2609.40315 — arXiv (en), https://arxiv.org/abs/2609.40315 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dcf77ec0755f (Metraipolis archive dc_dcf77ec0755f, sha256 e4a67c6cff50ccb8e814ba3ee2daeb012e23bd7288f9317f51659d73fa2c83c0)

BibTeX

@misc{dcdcf77ec0755f,
  title = {Teukolsky equations in perturbations of Kerr — arXiv:2609.40315},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.40315},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dcf77ec0755f; sha256 e4a67c6cff50ccb8e814ba3ee2daeb012e23bd7288f9317f51659d73fa2c83c0},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.40315. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-10-01 in gr-qc).
Categorie arXiv: Analysis of PDEs (math.AP) ; General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.40315 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-07T15:29:17.349Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-10-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).