Problems Extremal / Near-Extremal K-206
K-206

Extremal interior SCC and Cauchy-horizon regularity

open Extremal / Near-Extremal

Statement

Determine the interior stability or instability picture for extremal Kerr and identify the correct extendibility threshold across its inner horizon structure.

Mathematical prerequisites

Degenerate interior analysis; coupling of horizon and interior asymptotics; extremal transport estimates.

Why it matters

The extremal interior is much less understood than the subextremal one and may not fit the usual weak-null-singularity paradigm.

Completion criteria

A complete answer must specify the relevant extremal horizon geometry, the extension class, and the precise blow-up or continuity mechanism.

Implications if solved

Would complete the extremal analogue of SCC.


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