  We classified and studied the charged black hole and wormhole solutions in
the Einstein--Maxwell system in the presence of a massless, real scalar field.
The possible existence of charged black holes in general scalar--tensor
theories was studied in {Bronnikov et al, 1999;} black holes and wormholes
exist for a negative kinetic term for the scalar field. Using a conformal
transformation, the static, spherically symmetric possible structures in the
minimal coupled system are described. Besides wormholes and naked
singularities, only a restricted class of black hole exists, exhibiting a
horizon with an infinite surface and a timelike central singularity. The black
holes and wormholes defined in the Einstein frame have some specificities with
respect to the non-minimal coupling original frame, which are discussed in the
text.
