Strong cosmic censorship near Kerr in Christodoulou's square-integrable-connection formulation

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Companion: Generic C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes evidence for this event

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For each fixed $M>0$, $0<|\mathfrak a|<M$ there is $\varepsilon>0$ such that, among smooth complete two-ended vacuum data $d$ with tenth weighted seminorm $p_{10}(d-d_*)<\varepsilon$ from the Kerr bridge data, those whose full maximal globally hyperbolic development has a future extension with continuous nondegenerate metric in $W^{1,2}_{\mathrm{loc}}$ form a meagre set in the weighted smooth topology. No symmetry is imposed and extensions need not be vacuum. Companions prove the weaker $C^2$ and $C^1$ versions. This is strong cosmic censorship in Christodoulou's formulation near Kerr only; it is not the global conjecture, and it does not treat one-ended or nonrotating data. parent of this event

Strong cosmic censorship near Kerr in Christodoulou's square-integrable-connection formulation evidence for this event

Christodoulou 2009, The Formation of Black Holes in General Relativity evidence for this event

Companion: Quantitative Near-Kerr Evolution and Generic C2 Future Inextendibility evidence for this event

VibeMathed record: Strong cosmic censorship near Kerr in Christodoulou's square-integrable-connection formulation evidence for this event

Strong cosmic censorship near Kerr in Christodoulou's square-integrable-connection formulation parent of this event