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Strong cosmic censorship near two-ended Kerr data
Proves local strong cosmic censorship near each fixed rotating subextremal Kerr bridge. A dense G 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 in this family · 3
Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime
Sep 23, 2026·paper.pdf
For each fixed rotating subextremal Kerr background with mass M > 0 and rotation , we prove that the smooth vacuum data near its complete two-ended bridge whose full maximal globally hyperbolic development admits a future 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
Sep 23, 2026·paper.pdf
For each fixed Kerr spacetime with mass M > 0 and rotation , we prove that a dense G set of nearby smooth, complete two-ended vacuum data has a maximal globally hyperbolic development with no future C 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
Sep 23, 2026·paper.pdf
For every fixed rotating subextremal Kerr bridge, we prove that smooth vacuum data admitting a C 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.