K-103

Vacuum curvature blow-up rates on the Kerr Cauchy horizon

open Interior / SCC

Statement

Prove sharp quantitative blow-up rates for curvature or gauge-invariant gravitational quantities along the Kerr Cauchy horizon for generic perturbations.

Mathematical prerequisites

Nonlinear Bianchi analysis; Teukolsky asymptotics; blue-shift energy estimates; tetrad regularity.

Why it matters

SCC is not just about whether blow-up occurs, but about which geometric quantities diverge and how fast.

Completion criteria

A complete answer must provide matching upper and lower blow-up rates in a regular frame and show generic nonvanishing of leading coefficients.

Implications if solved

Would make the weak-null-singularity picture quantitative instead of merely qualitative.

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