Kahler geometry on the Kerr background directly causes the decoupling of Teukolsky equations for curvature scalars via parallel self-dual 2-forms.
Weak electromagnetic fields around a rotating black hole
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Kahler decoupling for Kerr perturbations
Kahler geometry on the Kerr background directly causes the decoupling of Teukolsky equations for curvature scalars via parallel self-dual 2-forms.