Nonlinear QNMs from full Einstein evolution

partial Spectral / Scattering

Statement

Derive theorem-level nonlinear ringdown expansions directly from near-Kerr Einstein dynamics, including quadratic or higher corrections to linear QNM behavior.

Mathematical prerequisites

Second-order perturbation theory; nonlinear normal forms; matched asymptotics; control of nonlinear waveform remainders.

Why it matters

Observational ringdown analysis increasingly depends on knowing when linear mode models are justified and when nonlinear corrections matter.

Completion criteria

A complete answer must bound the difference between the full Einstein waveform and a stated nonlinear QNM model over an explicit time interval.

Implications if solved

Would bridge rigorous PDE theory and high-precision black-hole spectroscopy.

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