Linear Mode Stability of the Kerr-Newman Black Hole and Its Quasinormal Modes
Linear Mode Stability of the Kerr-Newman Black Hole and Its Quasinormal Modes
We provide strong evidence that, up to 99.999% of extremality, Kerr-Newman black holes (KNBHs) are linear mode stable within Einstein-Maxwell theory. We derive and solve, numerically, a coupled system of two partial differential equations for two gauge invariant fields that describe the most general linear perturbations of a KNBH. We …