K-003

Nonlinear asymptotic completeness near Kerr

partial Exterior Stability

Statement

Construct a nonlinear scattering map between near-Kerr initial data and asymptotic radiation data at null infinity plus final Kerr parameters.

Mathematical prerequisites

Hyperboloidal or conformal compactification techniques; nonlinear scattering theory; Bondi framework; constraint propagation; inverse problems for radiation fields.

Why it matters

This is the cleanest theorem-level formulation of relaxation to Kerr plus radiation.

Completion criteria

A complete answer must define the forward and inverse scattering maps in explicit function spaces and prove existence, uniqueness, and continuous dependence modulo symmetries.

Implications if solved

Would make the Kerr endstate picture mathematically precise and usable for waveform extraction and uniqueness questions.

Last updated: 2026-04-05 · Edit on GitHub →