Extend Bekenstein’s theorem to Einstein–Maxwell-scalar theories with a scalar potential

Abstract The Bekenstein’s theorem allows us to generate an Einstein-conformal scalar solution from a single Einstein-ordinary solution. In this article, we extend the Einstein–Maxwell-scalar (EMS) theory with non-minimal coupling between and Maxwell field when potential is also included. As applications of extended theorem, well-known static dilaton rotating specific are considered, new conformal black hole solutions found. Noether charges, such as mass, electric charge, angular momentum, compared old connected by transformations, they found conformally invariant. We speculate that may be useful in computations metric perturbations spontaneous scalarization holes Einstein–Maxwell-conformal-scalar since can mapped corresponding EMS theories, which have been investigated detail.