K-012
Low-regularity Kerr stability threshold
open Exterior Stability
Statement
Find the minimal differentiability and asymptotic-flatness assumptions under which a Kerr stability theorem can hold.
Mathematical prerequisites
Low-regularity hyperbolic PDE; rough wave gauges; bilinear and null-structure estimates under weak decay; weighted Sobolev spaces.
Why it matters
Current high-regularity proofs are powerful but not obviously close to the true threshold.
Completion criteria
A complete answer must give a stability theorem at explicit regularity N and falloff δ, or produce a sharp obstruction below that threshold.
Implications if solved
Would reveal how robust the Kerr stability mechanism really is.
Last updated: 2026-04-05 ·
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