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The stability of the exterior Kerr-Newman spacetime to high-frequency perturbations is investigated. The complex frequencies associated with the oscillations of a charged rotating black hole are determined for the perturbation angular momentum parameters j=1. The results are extended to j1 for slowly rotating black holes. These modes indicate that the exterior Kerr-Newman geometry is stable in the eikonal approximation.
Bahram Mashhoon (Tue,) studied this question.