Asymptotic completeness for superradiant Klein-Gordon equations and   applications to the De Sitter Kerr metric
  We show asymptotic completeness for a class of superradiant Klein-Gordon equations. Our results are applied to the Klein-Gordon equation on the De Sitter Kerr metric with small angular momentum of the black hole. For this equation we obtain asymptotic completeness for fixed angular momentum of the field. 
Vladimir Georgescu (AGM), Christian G\'erard (LM-Orsay), Dietrich   H\"afner (IF)
math.AP gr-qc math-ph math.MP