A scattering theory for the wave equation on Kerr black hole exteriors

We develop a definitive physical-space scattering theory for the scalar wave equation ◻gψ = 0 on Kerr exterior backgrounds in the general subextremal case a < M .In particular, we prove results corresponding to "existence and uniqueness of scattering states" and "asymptotic completeness" and we show moreover that the resulting "scattering matrix" mapping radiation fields on the past horizon H - and past null infinity I -to radiation fields on H...