K-208
Near-extremal QNM accumulation and branch-cut structure
open Extremal / Near-Extremal
Statement
Classify what happens to Kerr quasinormal modes and low-frequency singular structure as the black hole approaches extremality.
Mathematical prerequisites
Semiclassical resonance theory; branch-cut analysis; near-throat scaling; non-selfadjoint perturbation theory.
Why it matters
Ringdown behavior near extremality depends sensitively on spectral accumulation and low-energy structure.
Completion criteria
A complete answer must identify resonance trajectories, any limiting continuum or branch phenomena, and the corresponding time-domain consequences.
Implications if solved
Would resolve a major uncertainty in near-extremal black-hole spectroscopy.
Last updated: 2026-04-05 ·
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