K-403
Scattering theory for linearized gravity on Kerr
partial Spectral / Scattering
Statement
Construct a complete gauge-invariant scattering theory for linearized vacuum Einstein perturbations on Kerr, paralleling the scalar-wave case.
Mathematical prerequisites
Gauge fixing; Teukolsky-to-metric reconstruction; horizon and infinity radiation fields; asymptotic completeness for constrained systems.
Why it matters
Decay results are stronger when organized into a full scattering theory.
Completion criteria
A complete answer must define the scattering states, wave operators, and asymptotic completeness modulo stationary/gauge modes.
Implications if solved
Would give the definitive linearized-gravity input for both exterior stability and interior genericity problems.
Last updated: 2026-04-05 ·
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