Cosmology with non-minimal coupled gravity: inflation and perturbation analysis

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