We discuss a gauge invariant gravity model in a non-Riemannian geometry in
which the curvature and the torsion both are zero, the nonmetricity is nonzero.
We also argue that only a metric ansatz is enough to start finding solutions to
the field equations. As an application we obtain explicitly a conformally flat
solution.Comment: This is the improved version of our manuscript arXiv:0810.2388v1. To
appear in International Journal of Geometric Methods in Modern Physic
