{"id":"openai-math/Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime","pdf":"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","url":"https://github.com/openai/math/tree/main/preprints/Generic-Future-Inextendibility-with-Square-Integrable-Connection-Near-a-Fixed-Kerr-Spacetime-September-23-2026","tags":["general-relativity","kerr-spacetime","weak-solutions","pde"],"score":0,"title":"Generic Future Inextendibility with Square-Integrable Connection Near a Fixed Kerr Spacetime","domain":"Mathematical physics","family":"264","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Strong cosmic censorship near two-ended Kerr data"}