K-107
Scattering map to the Cauchy horizon for linearized gravity
partial Interior / SCC
Statement
Construct a precise scattering map from exterior or horizon data to asymptotic data at the Kerr Cauchy horizon for gravitational perturbations.
Mathematical prerequisites
Teukolsky separation; physical-space asymptotics; scattering operators in non-globally-hyperbolic regions; gauge reconstruction.
Why it matters
The Cauchy horizon is best understood through a precise data-to-asymptotics map.
Completion criteria
A complete answer must define the map in explicit norms and prove sharp asymptotic formulas, including generic leading coefficients.
Implications if solved
Would clarify how exterior information is reprocessed by the blue-shift region.
Last updated: 2026-04-05 ·
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