K-008

Full stability of asymptotically flat Kerr–Newman

partial Exterior Stability

Statement

Prove linear and then nonlinear stability of the full subextremal Kerr–Newman family without small-charge or slow-rotation assumptions.

Mathematical prerequisites

Non-selfadjoint spectral theory; coupled gravito-EM perturbation equations; physical-space energy estimates; nonlinear modulation of mass, charge, and spin.

Why it matters

Kerr–Newman is the natural stationary Einstein–Maxwell black-hole family and a major benchmark after Kerr.

Completion criteria

A complete answer must treat the full subextremal parameter range a^2+Q^2<M^2 and produce decay to linearized or nonlinear Kerr–Newman modulo gauge and parameter shifts.

Implications if solved

Would give a coupled-field analogue of the Kerr stability theorem and reshape the Einstein–Maxwell scattering picture.

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