K-202
Full linear theory for extremal Kerr (spin 2)
partial Extremal / Near-Extremal
Statement
Develop a complete boundedness, decay, and instability theory for linearized vacuum Einstein perturbations of extremal Kerr.
Mathematical prerequisites
Degenerate vector-field method; zero-energy analysis; extremal Teukolsky theory; gauge-invariant reconstruction.
Why it matters
The linear theory is the mandatory first step before any nonlinear extremal theorem.
Completion criteria
A complete answer must separate decay away from the horizon from conserved or growing horizon quantities and handle gauge issues explicitly.
Implications if solved
Would become the linear backbone of extremal Kerr dynamics.
Last updated: 2026-04-05 ·
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