RT Journal Article T1 Einstein-Maxwell-scalar black holes: the hot, the cold and the bald A1 Blázquez Salcedo, José Luis A1 Herdeiro, Carlos A.R. A1 Kunz, Jutta A1 Pombo, Alexandre M. A1 Radu, Eugen AB The phenomenon of spontaneous scalarisation of charged black holes (BHs) has recently motivated studies of various Einstein-Maxwell-scalar models. Within these models, different classes of BH solutions are possible, depending on the non-minimal coupling function f(φ), between the scalar field and the Maxwell invariant. Here we consider the class wherein both the (bald) electrovacuum Reissner-Nordström (RN) BH and new scalarised BHs co-exist, and the former are never unstable against scalar perturbations. In particular we examine the model, within this subclass, with a quartic coupling function: f(φ) =1 +α(φ)4. The domain of existence of the scalarised BHs, for fixed α, is composed of two branches. The first branch (coldscalarised BHs) is continuously connected to the extremal RN BH. The second branch (hotscalarised BHs) connects to the first one at the minimum value of the charge to mass ratio and it includes overcharged BHs. We then assess the perturbative stability of the scalarised solutions, focusing on spherical perturbations. On the one hand, cold scalarised BHs are shown to be unstable by explicitly computing growing modes. The instability is quenched at both endpoints of the first branch. On the other hand, hot scalarised BHs are shown to be stable by using the S-deformation method. Thus, in the spherical sector this model possesses two stable BH local ground states (RN and hot scalarised). We point out that the branch structure of BHs in this model parallels the one of BHs in five dimensional vacuum gravity, with [Myers-Perry BHs, fat rings, thin rings] playing the role of [RN, cold scalarised, hot scalarised] BHs. PB Elsevier SN 1434-6044 YR 2020 FD 2020-07-10 LK https://hdl.handle.net/20.500.14352/98719 UL https://hdl.handle.net/20.500.14352/98719 LA eng NO Blázquez-Salcedo, Jose Luis, et al. «Einstein-Maxwell-Scalar Black Holes: The Hot, the Cold and the Bald». Physics Letters B, vol. 806, julio de 2020, p. 135493. DOI.org (Crossref), https://doi.org/10.1016/j.physletb.2020.135493. NO German Research Foundation NO European Cooperation in Science and Technology NO Fundação para a Ciência e a Tecnologia (Portugal) NO European Union's Horizon 2020 Research and Innovation DS Docta Complutense RD 26 abr 2025