Spontaneous scalarization of Reissner-Nordström black holes occurs in the scalar-vector-tensor f4 model, and the resulting scalarized black holes can be overcharged.
Therefore, the bound state with H(Φ) = η 2 Φ2 is unstable against the radial perturbations
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Spontaneous scalarization of charged black holes in the Scalar-Vector-Tensor theory
Spontaneous scalarization of Reissner-Nordström black holes occurs in the scalar-vector-tensor f4 model, and the resulting scalarized black holes can be overcharged.