Hidden symmetries under perturbation

open Rigidity / Uniqueness

Statement

Determine whether near-Kerr spacetimes admit robust approximate hidden symmetries strong enough to reproduce useful Carter-type commutators or conserved quantities.

Mathematical prerequisites

Killing tensors and Killing–Yano structures; perturbation theory of integrable systems; commutator algebra for PDE estimates.

Why it matters

Kerr owes much of its analytic tractability to hidden symmetry and separability.

Completion criteria

A complete answer must either construct approximate symmetry operators with usable error control or prove a no-go theorem.

Implications if solved

Would reveal whether Kerr’s special integrable structure survives in a useful approximate sense under perturbation.

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