Scalarized charged black holes in the Einstein-Maxwell-scalar theory with two U(1) fields. (English) Zbl 1475.83084
Summary: We investigate scalarized charged black holes in the Einstein-Maxwell-Scalar theory with two U(1) fields inspired by the \(N = 4\) supergravity. From the onset of the spontaneous scalarization (tachyonic instability of Reissner-Nordström black hole), these black holes are classified by the number of \(n = 0, 1, 2, \cdots \), where \(n = 0\) is called the fundamental black hole and \(n = 1, 2, \cdots\) denote the \(n\)-excited black holes. Adopting radial perturbations, we show that the \(n = 0\) black hole is stable against the \(s(l = 0)\)-mode scalar perturbation, whereas the \(n = 1, 2\) excited black holes are unstable. This implies that the \(n = 0\) black hole is considered as an endpoint of the Reissner-Nordström black hole.
Keywords:
excited black holesReferences:
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