K-105
Critical horizon-decay exponent controlling extendibility
partial Interior / SCC
Statement
Identify the exact exterior decay rate along the event horizon that separates weaker extendibility from stronger blow-up at the Cauchy horizon.
Mathematical prerequisites
Price-law asymptotics; transport into the interior; threshold Sobolev estimates; logarithmic corrections.
Why it matters
Interior regularity is driven by exterior tails, so there should be a sharp threshold law.
Completion criteria
A complete answer must prove both directions of the threshold and exhibit sharpness by examples or counterexamples.
Implications if solved
Would turn SCC for Kerr into a threshold phenomenon tied directly to exterior decay.
Last updated: 2026-04-05 ·
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