  We study electric stationary radial symmetric classical solutions of the U(1)
Einstein Maxwell Chern-Simons theory coupled to a gravitational massless scalar
field with a cosmological constant in 2+1 dimensions. Generic aspects of the
theory are discussed at an introductory level. We study solutions for both
negative sign (standard) and positive sign (ghost) of the gauge sector
concluding that although the expressions for the solutions are the same, the
constants as well as the physics change significantly. It is found a rotating
electric point particle. For the standard sign and specific values of the
parameters corresponding to solutions with positive mass the singularity is
dressed (in the sense that itself constitutes an horizon). The space-time
curvatures can be both positive or negative depending on the dominance of the
scalar or topologically massive matter. The Chern-Simons term is responsible
for interesting features, besides only allowing for rotating solutions, it
imposes restrictive bounds on the cosmological constant $\Lambda$ such that it
belongs to a positive interval and is switch on and off by the topological mass
$m^2$. Furthermore the charge, angular momentum and mass of the particle
solution are expressed uniquely as functions of the ratio between the
cosmological constant and the topological mass squared $x=\Lambda/m^2$. The
main drawback of our particle solution is that the mass is divergent. Our
background is a rotating flat space without angular deficit. We briefly discuss
parity and time-inversion violation by the Chern-Simons term which is explicit
in the solutions obtained, their angular momentum only depends on the relative
sign between the Chern-Simons term and the Maxwell term. Trivial solutions are
briefly studied holding non-singular extended configurations.
