  The technique of dimensional reduction was used in a recent paper (Zanchin et
al, Phys. Rev. D66, 064022,(2002)) where a three-dimensional (3D)
Einstein-Maxwell-Dilaton theory was built from the usual four-dimensional (4D)
Einstein-Maxwell-Hilbert action for general relativity. Starting from a class
of 4D toroidal black holes in asymptotically anti-de Sitter (AdS) spacetimes
several 3D black holes were obtained and studied in such a context. In the
present work we choose a particular case of the 3D action which presents
Maxwell field, dilaton field and an extra scalar field, besides gravity field
and a negative cosmological constant, and obtain new 3D static black hole
solutions whose horizons may have spherical or planar topology. We show that
there is a 3D static spherically symmetric solution analogous to the 4D
Reissner-Nordstr\"om-AdS black hole, and obtain other new 3D black holes with
planar topology. From the static spherical solutions, new rotating 3D black
holes are also obtained and analyzed in some detail.
