  The dimensional reduction of (the bosonic sector of) five-dimensional minimal
supergravity to four dimensions leads to a theory with a massless axion and a
dilaton coupled to gravity and two U(1) gauge fields (one of which has
Chern-Simons coupling), whose field equations have SL(2,R)-invariance.
Utilizing this SL(2,R)-duality, we provide a new formalism for solution
generation. As an example, applying it to the Rasheed solution, which are known
to describe dyonic rotating black holes (from the four-dimensional point of
view) of five-dimensional pure gravity, we obtain rotating Kaluza-Klein black
hole solutions in five-dimensional minimal supergravity. We also show that the
solutions have six charges: mass, angular momentum, Kaluza-Klein
electric/magnetic charges and electric/magnetic charges of the Maxwell field,
four of which are related by a constraint.
