@article{ChoquetBruhat1952,
  author        = {Four{\`e}s-Bruhat, Yvonne},
  title         = {Th{\'e}or{\`e}me d'existence pour certains syst{\`e}mes d'{\'e}quations aux d{\'e}riv{\'e}es partielles non lin{\'e}aires},
  journal       = {Acta Mathematica},
  volume        = {88},
  year          = {1952},
  pages         = {141--225},
  doi           = {10.1007/BF02392131},
  url           = {https://link.springer.com/article/10.1007/BF02392131}
}

@article{ChoquetBruhatGeroch1969,
  author        = {Choquet-Bruhat, Yvonne and Geroch, Robert},
  title         = {Global aspects of the {Cauchy} problem in general relativity},
  journal       = {Communications in Mathematical Physics},
  volume        = {14},
  year          = {1969},
  pages         = {329--335},
  doi           = {10.1007/BF01645389},
  url           = {https://link.springer.com/article/10.1007/BF01645389}
}

@article{Sbierski2016,
  author = {Sbierski, Jan},
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  archivePrefix = {arXiv},
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  note = {Published online in 2015; journal issue February 2016}
}

@article{Kerr1963,
  author = {Kerr, Roy P.},
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}

@book{Christodoulou2009,
  author = {Christodoulou, Demetrios},
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}

@article{DafermosLuk2025,
  author = {Dafermos, Mihalis and Luk, Jonathan},
  title = {The interior of dynamical vacuum black holes {I}: The {$C^0$}-stability of the {Kerr Cauchy} horizon},
  journal = {Annals of Mathematics},
  volume = {202},
  number = {2},
  year = {2025},
  pages = {309--630},
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}

@article{Sbierski2022,
  author = {Sbierski, Jan},
  title = {On holonomy singularities in general relativity and the {$C^{0,1}_{\mathrm{loc}}$}-inextendibility of spacetimes},
  journal = {Duke Mathematical Journal},
  volume = {171},
  number = {14},
  year = {2022},
  pages = {2881--2942},
  doi = {10.1215/00127094-2022-0040},
  url = {https://arxiv.org/abs/2007.12049}
}

@article{Sbierski2026,
  author = {Sbierski, Jan},
  title = {Lipschitz inextendibility of weak null singularities from curvature blow-up},
  journal = {Inventiones mathematicae},
  volume = {243},
  year = {2026},
  pages = {961--991},
  doi = {10.1007/s00222-025-01387-0},
  url = {https://link.springer.com/article/10.1007/s00222-025-01387-0}
}

@article{Sbierski2024,
  author = {Sbierski, Jan},
  title = {Uniqueness and non-uniqueness results for spacetime extensions},
  journal = {International Mathematics Research Notices},
  volume = {2024},
  number = {20},
  pages = {13221--13254},
  year = {2024},
  doi = {10.1093/imrn/rnae194},
  eprint = {2208.07752v2},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2208.07752v2}
}

@misc{Hintz2026,
  author = {Hintz, Peter},
  title = {Nonlinear stability of subextremal {Kerr} black holes},
  year = {2026},
  howpublished = {arXiv:2606.28253v2},
  url = {https://arxiv.org/abs/2606.28253v2},
  note = {Version 2, 3 August 2026}
}

@misc{LukSbierski2026,
  author = {Luk, Jonathan and Sbierski, Jan},
  title = {The formation of a weak null singularity in the interior of generic rotating black holes},
  year = {2026},
  howpublished = {arXiv:2604.04877v1},
  url = {https://arxiv.org/abs/2604.04877v1},
  note = {Version 1, 6 April 2026}
}

@misc{HHV2025,
  author        = {H{\"a}fner, Dietrich and Hintz, Peter and Vasy, Andr{\'a}s},
  title         = {Linear stability of {Kerr} black holes in the full subextremal range},
  year          = {2025},
  eprint        = {2506.21183},
  howpublished  = {arXiv:2506.21183v1},
  archivePrefix = {arXiv},
  primaryClass  = {gr-qc},
  doi           = {10.48550/arXiv.2506.21183},
  url           = {https://arxiv.org/abs/2506.21183v1},
  note          = {Version 1, 26 June 2025}
}

@article{Dyatlov2016,
  author        = {Dyatlov, Semyon},
  title         = {Spectral gaps for normally hyperbolic trapping},
  journal       = {Annales de l'Institut Fourier},
  volume        = {66},
  number        = {1},
  year          = {2016},
  pages         = {55--82},
  doi           = {10.5802/aif.3005},
  eprint        = {1403.6401v3},
  archivePrefix = {arXiv},
  primaryClass  = {math.AP},
  url           = {https://aif.centre-mersenne.org/articles/10.5802/aif.3005/}
}

@article{Hintz2017,
  author        = {Hintz, Peter},
  title         = {Resonance expansions for tensor-valued waves on asymptotically {Kerr--de Sitter} spaces},
  journal       = {Journal of Spectral Theory},
  volume        = {7},
  number        = {2},
  year          = {2017},
  pages         = {519--557},
  doi           = {10.4171/JST/171},
  eprint        = {1502.03183v2},
  archivePrefix = {arXiv},
  primaryClass  = {math.AP},
  url           = {https://ems.press/journals/jst/articles/14842}
}

@article{Carter1968,
  author={Carter, Brandon},
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}

@article{Penrose1969,
  author={Penrose, Roger},
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  doi={10.1023/A:1016578408204},
  note={Reprint of the 1969 article}
}

@incollection{Penrose1979,
  author={Penrose, Roger},
  title={Singularities and time-asymmetry},
  editor={Hawking, Stephen W. and Israel, Werner},
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}

@article{PoissonIsrael1990,
  author={Poisson, Eric and Israel, Werner},
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@article{Ori1991,
  author={Ori, Amos},
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@article{Ori1992,
  author={Ori, Amos},
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  journal={Physical Review Letters}, volume={68}, year={1992}, pages={2117--2120},
  doi={10.1103/PhysRevLett.68.2117}
}

@article{Dafermos2003,
  author={Dafermos, Mihalis},
  title={Stability and instability of the {Cauchy} horizon for the spherically symmetric {Einstein--Maxwell--scalar} field equations},
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  doi={10.4007/annals.2003.158.875}
}

@article{Dafermos2005,
  author={Dafermos, Mihalis},
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  eprint={gr-qc/0307013}, archivePrefix={arXiv},
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}

@article{Luk2018,
  author={Luk, Jonathan}, title={Weak null singularities in general relativity},
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  eprint={1311.4970}, archivePrefix={arXiv}, url={https://arxiv.org/abs/1311.4970}
}

@article{LukOh2019I,
  author={Luk, Jonathan and Oh, Sung-Jin},
  title={Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data {I}. The interior of the black hole region},
  journal={Annals of Mathematics}, volume={190}, number={1}, year={2019}, pages={1--111},
  doi={10.4007/annals.2019.190.1.1}
}

@article{LukOh2019II,
  author={Luk, Jonathan and Oh, Sung-Jin},
  title={Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data {II}. The exterior of the black hole region},
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  doi={10.1007/s40818-019-0062-7}
}

@misc{Gurriaran2026,
  author={Gurriaran, Sebastian},
  title={Non-linear instability of the {Kerr Cauchy} horizon near {$i_+$}},
  year={2026}, eprint={2603.17911}, archivePrefix={arXiv}, primaryClass={gr-qc},
  howpublished={arXiv:2603.17911v2}, url={https://arxiv.org/abs/2603.17911v2},
  note={Version 2, March 23, 2026}
}

@article{Corvino2000,
  author = {Corvino, Justin},
  title = {Scalar Curvature Deformation and a Gluing Construction for the {Einstein} Constraint Equations},
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  doi = {10.1007/PL00005533}, url = {https://doi.org/10.1007/PL00005533}
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@article{CorvinoSchoen2006,
  author = {Corvino, Justin and Schoen, Richard M.},
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  doi = {10.4310/jdg/1146169910}, url = {https://doi.org/10.4310/jdg/1146169910},
  eprint = {gr-qc/0301071}, archivePrefix = {arXiv}
}

@book{ChruscielDelay2003,
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  number = {94}, publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France}, year = {2003},
  doi = {10.24033/msmf.407}, url = {https://doi.org/10.24033/msmf.407}
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@article{CarlottoSchoen2016,
  author = {Carlotto, Alessandro and Schoen, Richard},
  title = {Localizing Solutions of the {Einstein} Constraint Equations},
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  url = {https://doi.org/10.1007/s00222-015-0642-4},
  eprint = {1407.4766}, archivePrefix = {arXiv}
}

@incollection{Bogovskii1980,
  author = {Bogovski{\u\i}, M. E.},
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@article{CostabelMcIntosh2010,
  author = {Costabel, Martin and McIntosh, Alan},
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  url = {https://doi.org/10.1007/s00209-009-0517-8},
  eprint = {0808.2614}, archivePrefix = {arXiv}
}

@incollection{Ralston1982,
  author = {Ralston, James},
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@article{Tanushev2008,
  author = {Tanushev, Nicolay M.},
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@article{LiuRunborgTanushev2013,
  author = {Liu, Hailiang and Runborg, Olof and Tanushev, Nicolay M.},
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}

@misc{AretakisCzimekRodnianski2021,
  author = {Aretakis, Stefanos and Czimek, Stefan and Rodnianski, Igor},
  title = {The Characteristic Gluing Problem for the {Einstein} Vacuum Equations. Linear and Non-linear Analysis},
  year = {2021}, eprint = {2107.02449}, archivePrefix = {arXiv}, primaryClass = {gr-qc},
  url = {https://arxiv.org/abs/2107.02449v1}, note = {Version 1, July 6, 2021}
}

@misc{CzimekRodnianski2022,
  author = {Czimek, Stefan and Rodnianski, Igor},
  title = {Obstruction-free Gluing for the {Einstein} Equations},
  year = {2022}, eprint = {2210.09663}, archivePrefix = {arXiv}, primaryClass = {gr-qc},
  url = {https://arxiv.org/abs/2210.09663v1}, note = {Version 1, October 18, 2022}
}

@misc{Foundation,
  author = {{OpenAI}},
  title = {{Quantitative Near-Kerr Evolution and Generic $C^2$ Future Inextendibility}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Quantitative-Near-Kerr-Evolution-and-Generic-C2-Future-Inextendibility-September-23-2026/paper.pdf}{OAI:Quantitative-Near-Kerr-Evolution-and-Generic-C2-Future-Inextendibility-September-23-2026}},
  year = {2026}
}

@misc{KerrWeakConnection,
  author = {{OpenAI}},
  title = {{Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026/paper.pdf}{OAI:Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026}},
  year = {2026}
}