Kerr stability in the full subextremal range

@misc{szeftel2026kerr,
  title = {{Kerr stability in the full subextremal range}},
  author = {Jérémie Szeftel},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.40068},
  eprint = {2609.40068},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.40068},
}

TY  - UNPB
TI  - Kerr stability in the full subextremal range
AU  - Jérémie Szeftel
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.40068
UR  - https://arxiv.org/abs/2609.40068
AB  - In the present paper, we extend the results 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 from the slowly rotating regime |a|≪ m to the full subextremal range |a|<m, thereby completing the proof of the Kerr stability conjecture. The restriction |a|≪ m enters in fact only through the estimates for wave equations and for the Bianchi system established in \cite{GKS22}. To remove this restriction, we crucially rely 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 inhomogeneous scalar wave equation and for inhomogeneous Teukolsky equations on perturbations of Kerr with |a|<m. Additionally, some of the results of the present paper are proved in our companion paper \cite{Sze}.
ER  -