Abstract

In this paper, we investigate the inflationary cosmology in [Formula: see text] gravity by proposing different models of [Formula: see text], where [Formula: see text] is a noninteracting massive scalar field which is nonminimally coupled to gravity in the Jordan frame. In special cases of these models, we could reach the standard Starobinsky model. Further, we calculated the slow-roll parameters, scalar-to-tensor ratio, and spectral index for these models and compared them with observations. Our findings are located in the favorite area of Planck’s recent results. On the other hand, the discovery of the gravitational waves in the range of [Formula: see text] would rule out the Starobinsky model or even the nondiscovery of gravitational wave in this range [Formula: see text] by PICO. Our models, specifically the second one, might be the proper generalization for the Starobinsky model in this regard.

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