K-009

Einstein–massive Klein–Gordon near Kerr endstates

open Exterior Stability

Statement

Classify whether small Einstein–massive KG perturbations near Kerr disperse to Kerr, form long-lived clouds, or trigger nonlinear superradiant phenomena.

Mathematical prerequisites

Massive wave spectral theory; quasi-bound states; nonlinear bifurcation; dispersive estimates with trapping and superradiance.

Why it matters

Massive fields are the canonical place where the clean vacuum dispersive picture may fail.

Completion criteria

A complete answer must give a theorem-level dynamical classification with explicit parameter regimes and asymptotic alternatives.

Implications if solved

Would clarify the long-time dynamics of rotating black holes coupled to realistic matter models.

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