K-108

Strong Cosmic Censorship in rotating Λ>0 backgrounds

conditional Interior / SCC

Statement

Determine the correct SCC threshold for Kerr–de Sitter or Kerr–Newman–de Sitter, especially near extremality, where quasinormal-mode decay may compete with blue-shift.

Mathematical prerequisites

Spectral-gap estimates; de Sitter horizon boundary conditions; Sobolev regularity at the Cauchy horizon; coupled gravito-electromagnetic systems.

Why it matters

Positive cosmological constant changes both decay and interior amplification, so SCC can look different than in the asymptotically flat case.

Completion criteria

A complete answer must connect spectral decay rates to extension regularity and prove either violation or restoration of SCC in a stated class.

Implications if solved

Would clarify one of the most delicate modern versions of SCC.

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