Problems Rigidity / Uniqueness K-308
K-308

Rigidity and uniqueness with matter: full Kerr–Newman regime

partial Rigidity / Uniqueness

Statement

Prove the full stationary uniqueness and perturbative rigidity theory for Kerr–Newman without smallness assumptions.

Mathematical prerequisites

Einstein–Maxwell stationary reduction; coupled invariant tensors; horizon regularity; unique continuation.

Why it matters

Kerr–Newman is the natural charged rotating family, but its full rigidity theory is still not as complete as one would like.

Completion criteria

A complete answer must characterize the full stationary family under natural hypotheses and support the coupled dynamical theory.

Implications if solved

Would unify the stationary Einstein–Maxwell black-hole classification.


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