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We study electric stationary radial symmetric classical solutions of the U(1)Einstein Maxwell Chern-Simons theory coupled to a gravitational massless scalarfield with a cosmological constant in 2+1 dimensions. Generic aspects of thetheory are discussed at an introductory level. We study solutions for bothnegative sign (standard) and positive sign (ghost) of the gauge sectorconcluding that although the expressions for the solutions are the same, theconstants as well as the physics change significantly. It is found a rotatingelectric point particle. For the standard sign and specific values of theparameters corresponding to solutions with positive mass the singularity isdressed (in the sense that itself constitutes an horizon). The space-timecurvatures can be both positive or negative depending on the dominance of thescalar or topologically massive matter. The Chern-Simons term is responsiblefor interesting features, besides only allowing for rotating solutions, itimposes restrictive bounds on the cosmological constant $\Lambda$ such that itbelongs 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 particlesolution are expressed uniquely as functions of the ratio between thecosmological constant and the topological mass squared $x=\Lambda/m^2$. Themain drawback of our particle solution is that the mass is divergent. Ourbackground is a rotating flat space without angular deficit. We briefly discussparity and time-inversion violation by the Chern-Simons term which is explicitin the solutions obtained, their angular momentum only depends on the relativesign between the Chern-Simons term and the Maxwell term. Trivial solutions arebriefly studied holding non-singular extended configurations.Comment: 38+2 pages; v2: 35 pages. Current version with journal. Major changes  in concepts (the scalar field cannot be interpreted as a Dilaton).  Accordingly title, introduction and conclusions have changed. Due to a '-'  sign error the horizons exist for positive mass configurations. References  added. v3: eq (2.23) corrected, added eq (2.24

Rotating electric classical solutions of (2 + 1)D U (1) Einstein–Maxwell–Chern–Simons theory