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

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

New approach to solution generation using SL(2,R)-duality of a  dimensionally reduced space in five-dimensional minimal supergravity and new  black holes