K-006

Kerr stability with BMS charges and nonlinear memory

open Exterior Stability

Statement

Build a Kerr stability theorem that simultaneously controls Bondi mass/angular momentum aspects, BMS ambiguities, and nonlinear memory observables.

Mathematical prerequisites

Bondi-Sachs expansions; asymptotic symmetries; flux laws; gauge fixing at null infinity; nonlinear radiation estimates.

Why it matters

A stability theorem should describe not only decay, but also the asymptotic observables seen by distant detectors.

Completion criteria

A complete answer must define charges and memory in the chosen regularity class, prove their finiteness and flux laws, and show consistency with the final Kerr parameters.

Implications if solved

Would connect rigorous black-hole PDE theory to the clean mathematical structure behind gravitational-wave observables.

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