CONSTRUCTING NEW ROTATING DILATON BLACK-HOLES

We consider the axially symmetric coupled system of gravitation, elect romagnetism, and a dilaton field. Reducing from four to three dimensio ns, the system is described by gravity coupled to a nonlinear sigma mo del. We find the target space isometries and use them to generate new solutions; It seems that it is only possible to generate rotating solu tions from nonrotating ones for the special cases when the dilaton cou pling parameter alpha = 0, +/- root 3. For those particular values, th e target space symmetry is enlarged.