Problem clusters

Global exterior dynamics, decay, scattering, and radiation for near-Kerr spacetimes. Includes the main Kerr stability conjecture and its extensions to matter fields and near-extremal regimes.

Cauchy horizon structure, blue-shift instability, strong cosmic censorship, and the singularity structure of the Kerr interior.

Zero surface gravity, Aretakis instability, NHEK geometry, and the transition from subextremal to extremal dynamics.

Stationary black hole characterization, hidden symmetries, Mars–Simon tensor, and near-Kerr recognition theorems.

Quasinormal modes, resolvents, inverse problems, scattering maps, pseudospectrum, and excitation factors.