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={}m{}{}1. The results are extended to j{≥}{}m{}{}1 for slowly rotating black holes. These modes indicate that the exterior Kerr-Newman geometry is stable in the eikonal approximation.
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Bahram Mashhoon (1985) studied this question.
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