  We consider theories of gravity that include many coupled scalar fields with
arbitrary couplings, in the geometric framework of wave maps. We examine the
possibility of obtaining acceptable cosmological solutions without the
inclusion of a potential term to the scalar fields. To illustrate the theory,
we study two simple models and compare their solutions to those in General
Relativity. We also address the issue of the conditions that must be satisfied
by the wave maps for an accelerated phase of the Universe.
