Problems Interior / SCC K-109
K-109

Near-extremal interior scaling laws

open Interior / SCC

Statement

Find universal scaling relations for interior blow-up, weak singularity structure, and regularity thresholds as the Kerr spin approaches extremality.

Mathematical prerequisites

Matched asymptotics between throat and bulk interior; scaling analysis in ε=1−|a|/M; uniform energy estimates.

Why it matters

Near-extremal interiors are where ordinary blue-shift theory meets extremal degeneracy.

Completion criteria

A complete answer must quantify how the relevant norms or exponents depend on ε and identify any limiting profile.

Implications if solved

Would connect interior SCC with extremal black-hole theory.


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