K-207
Extremal tail asymptotics versus conserved charges
partial Extremal / Near-Extremal
Statement
Prove sharp late-time asymptotics for waves and spin fields on extremal Kerr in terms of both infinity charges and horizon Aretakis charges.
Mathematical prerequisites
Low-frequency asymptotics; time inversion; charge extraction; mode coupling in degenerate horizon settings.
Why it matters
In extremal geometry, the horizon itself stores conserved information that changes the tail law.
Completion criteria
A complete answer must give leading terms, error bounds, and genericity of nonzero coefficients in the exterior and on the horizon.
Implications if solved
Would quantify exactly how extremal tails differ from subextremal Price laws.
Last updated: 2026-04-05 ·
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