  We study a scalar-tensor cosmological model where the Einstein tensor is
non-minimally coupled to the free scalar field dynamics. Using FRW metric, we
investigate the behavior of scale factor for vacuum, matter and dark energy
dominated eras. Especially, we focus on the inflationary behavior at early
universe. Moreover, we study the perturbation analysis of this model in order
to confront the inflation under consideration with the observational results.
