K-010

Nonlinear superradiant endstates in Kerr–AdS

partial Exterior Stability

Statement

Determine the theorem-level nonlinear endstate for small perturbations of Kerr–AdS in the presence of reflecting infinity and superradiance.

Mathematical prerequisites

AdS boundary value problems; long-time nonlinear dynamics; spectral instability; stable trapping; matched asymptotics.

Why it matters

Kerr–AdS is the canonical setting where rotation, confinement, and superradiance collide.

Completion criteria

A complete answer must prove either instability or convergence to a precisely identified stationary or time-periodic family under explicit boundary conditions.

Implications if solved

Would clarify one of the most dramatic known departures from the asymptotically flat Kerr story.

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