  We consider charged rotating BTZ black holes in noncommutative space by use
of Chern-Simons theory formulation of $2+1$ dimensional gravity. The
noncommutativity between the radial and the angular variables is introduced
through the Seiberg-Witten map for gauge fields, and the deformed geometry to
the first order in the noncommutative parameter is derived. It is found that
the deformation also induces nontrivial torsion, and the Einstein-Cartan theory
appears to be a suitable framework to investigate the equations of motion.
Though the deformation is indeed nontrivial, the deformed and the original
Einstein equations are found to be related by a rather simple coordinate
transformation.
