Dynamical spontaneous scalarization in Einstein-Maxwell-scalar models in anti–de Sitter spacetime

We study the dynamical spontaneous scalarization of charged black hole in asymptotically anti--de Sitter spacetimes Einstein-Maxwell-scalar models. Including various nonminimal couplings between scalar field and Maxwell field, an initial scalar-free suffers tachyonic instability, both irreducible mass grow exponentially at early times saturate late times. For fractional coupling, we find that, though there is negative energy distribution near horizon, horizon area never decreases during evolution. But when parameters are large, evolution end points linearly unstable bald holes will be with a naked singularity such that cosmic censorship violated. The effects charge, cosmological constant, coupling strength on process studied detail. large enough constant can prevent scalarization.