  We construct electrically charged Q-balls and boson stars in a model with a
scalar self-interaction potential resulting from gauge mediated supersymmetry
breaking. We discuss the properties of these solutions in detail and emphasize
the differences to the uncharged case. We observe that Q-balls can only be
constructed up to a maximal value of the charge of the scalar field, while for
boson stars the interplay between the attractive gravitational force and the
repulsive electromagnetic force determines their behaviour. We find that the
vacuum is stable with respect to pair production in the presence of our charged
boson stars. We also study the motion of charged, massive test particles in the
space-time of boson stars. We find that in contrast to charged black holes the
motion of charged test particles in charged boson star space-times is planar,
but that the presence of the scalar field plays a crucial role for the
qualitative features of the trajectories. Applications of this test particle
motion can be made in the study of extreme-mass ratio inspirals (EMRIs) as well
as astrophysical plasmas relevant e.g. in the formation of accretion discs and
polar jets of compact objects.
