Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric

Christian G\'erard (LM-Orsay); Dietrich H\"afner (IF); Vladimir Georgescu (AGM)

arxiv: 1405.5304 · v1 · pith:YISVXCQ7new · submitted 2014-05-21 · 🧮 math.AP · gr-qc· math-ph· math.MP

Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric

Vladimir Georgescu (AGM) , Christian G\'erard (LM-Orsay) , Dietrich H\"afner (IF) This is my paper

classification 🧮 math.AP gr-qcmath-phmath.MP

keywords asymptoticcompletenessklein-gordonangularequationequationskerrmetric

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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.

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Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric

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