Stability of charged rotating black holes in the eikonal approximation

Abstract

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=\ensuremath{\Vert}m\ensuremath{\Vert}\ensuremath{\gg}1. The results are extended to j\ensuremath{\ge}\ensuremath{\Vert}m\ensuremath{\Vert}\ensuremath{\gg}1 for slowly rotating black holes. These modes indicate that the exterior Kerr-Newman geometry is stable in the eikonal approximation.

Identifiers

DOI

10.1103/physrevd.31.290

Citations and references