  First, I present two new classes of magnetic rotating solutions in
four-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type
potential. The first class of solutions yields a 4-dimensional spacetime with a
longitudinal magnetic field generated by a static or spinning magnetic string.
I find that these solutions have no curvature singularity and no horizons, but
have a conic geometry. In these spacetimes, when the rotation parameter does
not vanish, there exists an electric field, and therefore the spinning string
has a net electric charge which is proportional to the rotation parameter. The
second class of solutions yields a spacetime with an angular magnetic field.
These solutions have no curvature singularity, no horizon, and no conical
singularity. The net electric charge of the strings in these spacetimes is
proportional to their velocities. Second, I obtain the ($n+1$)-dimensional
rotating solutions in Einstein-dilaton gravity with Liouville-type potential. I
argue that these solutions can present horizonless spacetimes with conic
singularity, if one chooses the parameters of the solutions suitable. I also
use the counterterm method and compute the conserved quantities of these
spacetimes.
