Abstract
We perform the stability analysis on scalarized charged black holes in the Einstein–Maxwell–Scalar (EMS) theory by computing quasinormal mode spectrum. It is noted that the appearance of these black holes with scalar hair is closely related to the instability of Reissner–Nordström black holes without scalar hair in the EMS theory. The scalarized charged black hole solutions are classified by the order number of n=0,1,2,⋯, where n=0 is called the fundamental branch and n=1,2,⋯ denote the n excited branches. Here, we show that the n=1,2 excited black holes are unstable against the s(l=0)-mode scalar perturbation, while the n=0 black hole is stable against all scalar–vector–tensor perturbations. This is consistent with other scalarized black holes without charge found in the Einstein–Scalar–Gauss–Bonnet theory.
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