Rotating 5D-Kaluza-Klein space-times from invariant transformations

Using invariant transformations of the five-dimensional Kaluza-Klein (KK) f ield equations, we find a series of formulae to derive axially symmetric st ationary exact solutions of the KK theory starting from static ones. The pr ocedure presented in this work allows to derive new exact solutions up to v ery simple integrations. Among other results, we find exact rotating soluti ons containing magnetic monopoles, dipoles, quadrupoles, etc., coupled to s calar and to gravitational multipole fields.