Abstract

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,⋯, where n=0 is called the fundamental black hole and n=1,2,⋯ 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.

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