Strong cosmic censorship near two-ended Kerr data

Proves local strong cosmic censorship near each fixed rotating subextremal Kerr bridge. A dense G_δ subset of a weighted smooth neighborhood of smooth complete two-ended asymptotically flat vacuum data has full maximal globally hyperbolic developments with no future continuous nondegenerate extension whose weak connection is locally square-integrable. No symmetry is imposed; extensions need not satisfy the vacuum equations.

Manuscripts (3)

Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime

September 23, 2026 · source · cite as \cite{OAI:Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026}

For each fixed rotating subextremal Kerr background with mass M > 0 and rotation 0\lt |\mathfrak a|\lt M, we prove that the smooth vacuum data near its complete two-ended bridge whose full maximal globally hyperbolic development admits a future C^0\cap W^{1,2}_{\mathrm{loc}} extension form a meagre set in the weighted smooth topology. The extension metric is continuous and nondegenerate, and its weak connection is locally square-integrable. The neighborhood requires smallness of only the tenth weighted seminorm, while the topology tests every finite order.

Generic C1 Future Inextendibility Near Rotating Subextremal Kerr Spacetimes

September 23, 2026 · source · cite as \cite{OAI:Generic-C1-Future-Inextendibility-Near-Rotating-Subextremal-Kerr-Spacetimes-September-23-2026}

For each fixed Kerr spacetime with mass M > 0 and rotation 0\lt \mathfrak a\lt M, we prove that a dense G_δ set of nearby smooth, complete two-ended vacuum data has a maximal globally hyperbolic development with no future C¹ extension. The neighborhood and genericity are defined in a weighted smooth topology, and ambient extensions may be nonvacuum.

Quantitative Near-Kerr Evolution and Generic C2 Future Inextendibility

September 23, 2026 · source · cite as \cite{OAI:Quantitative-Near-Kerr-Evolution-and-Generic-C2-Future-Inextendibility-September-23-2026}

For every fixed rotating subextremal Kerr bridge, we prove that smooth vacuum data admitting a C² future extension of their full maximal globally hyperbolic development form a meagre set in a neighborhood defined by one finite-order seminorm. The topology allows arbitrary symbol-bounded asymptotically flat tails and imposes no symmetry.

Result 264 · Mathematical physics. Imported from openai/math, a collection of manuscripts produced by an OpenAI model; results are at different stages of verification. Discussion below is by Lemma members.