ON THE CORRESPONDENCE BETWEEN EXACT-SOLUTIONS IN KALUZA-KLEIN THEORY AND IN SCALAR-TENSOR THEORIES

Using the formal equivalences between Kaluza-Klein gravity, Brans-Dick e theory and general relativity coupled to a massless scalar field, ex act solutions obtained in one theory will correspond to analogous solu tions in the other two theories. Often exact solutions in one theory a re ''rediscovered'' since theory are not recognized as analogs of the corresponding solutions in one of the other theories. We review here a number of exact solutions in each of the theories, with an emphasis o n identifying and presenting the higher-dimensional version of the sol utions. We also briefly comment upon the formal equivalence between Ka luza-Klein theory and scalar-tensor theories in general.