K-004
Peeling and polyhomogeneous null infinity for near-Kerr
open Exterior Stability
Statement
Prove a sharp asymptotic expansion for curvature and connection coefficients at future null infinity for nonlinear near-Kerr evolutions.
Mathematical prerequisites
Null foliation geometry; transport equations; conformal compactification; asymptotic expansions; weighted regularity along null hypersurfaces.
Why it matters
Decay alone does not determine the detailed asymptotic geometry; peeling data encode physically meaningful radiation structure.
Completion criteria
A complete answer must provide the expansion order, the gauge, the leading coefficients as functionals of data, and rigorous remainder bounds.
Implications if solved
Would clarify radiation memory, asymptotic charges, and how Kerr asymptotics differ from generic asymptotically flat vacua.
Last updated: 2026-04-05 ·
Edit on GitHub →