RT Journal Article T1 Quasinormal modes of hot, cold and bald Einstein–Maxwell-scalar black holes A1 Blázquez Salcedo, José Luis A1 Herdeiro, Carlos A. R. A1 Kahlen, Sarah A1 Kunz, Jutta A1 Pombo, Alexandre M. A1 Radu, Eugen AB Einstein–Maxwell-scalar models allow for different classes of black hole solutions, depending on the non-minimal coupling function f(ϕ) employed, between the scalar field and the Maxwell invariant. Here, we address the linear mode stability of the black hole solutions obtained recently for a quartic coupling function, f(ϕ)=1+αϕ4 (Blázquez-Salcedo et al. in Phys. Lett. B 806:135493, 2020). Besides the bald Reissner–Nordström solutions, this coupling allows for two branches of scalarized black holes, termed cold and hot, respectively. For these three branches of black holes we calculate the spectrum of quasinormal modes. It consists of polar scalar-led modes, polar and axial electromagnetic-led modes, and polar and axial gravitational-led modes. We demonstrate that the only unstable mode present is the radial scalar-led mode of the cold branch. Consequently, the bald Reissner–Nordström branch and the hot scalarized branch are both mode-stable. The non-trivial scalar field in the scalarized background solutions leads to the breaking of the degeneracy between axial and polar modes present for Reissner–Nordström solutions. This isospectrality is only slightly broken on the cold branch, but it is strongly broken on the hot branch. PB Springer SN 1434-6044 YR 2021 FD 2021-02-15 LK https://hdl.handle.net/20.500.14352/7268 UL https://hdl.handle.net/20.500.14352/7268 LA eng NO Unión Europea. Horizonte 2020 NO FCT NO DFG NO Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT - Fundação para a Ciência e a Tecnologia) DS Docta Complutense RD 6 oct 2024