Quasinormal modes of scalarized black holes in the Einstein-Maxwell-scalar theory. (English) Zbl 1411.83054
Summary: 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 \(n = 0, 1, 2, \dots\), where \(n = 0\) is called the fundamental branch and \(n = 1, 2, \dots\) 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.
MSC:
| 83C57 | Black holes |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
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