Stability of Reissner-Nordstr\"om black hole in de Sitter background under charged scalar perturbation
Abstract
We find a new instability in the four-dimensional Reissner-Nordstrom-de Sitter black holes against charged scalar perturbations with vanishing angular momentum, l=0. We show that such an instability is caused by superradiance. The instability does not occur for an larger angular index, as explicitely proven for l=1. Our results are obtained from a numerical investigation of the time domain profiles of the perturbations.
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