BTZ BLACK HOLE AS A SOLUTION OF GENERALIZED SUPERGRAVITY EQUATIONS

This paper is devoted to a study of solutions of generalized supergravity equations in dimension three. Our candidate is the metric of BTZ black hole. It is shown that only the cases of and of the metric satisfy the generalized supergravity equations. In the former case, we obtain a family of solutions including the field strength, dilaton field together with an appropriate vector field , while in the latter case we are dealing with two cases of solutions.