Verified models of cosmological inflation based on scalar-tensor theory of gravity

We consider inflationary models based on scalar-tensor gravity with power-law parametrisation influence of the non-minimal coupling between the scalar field and curvature on the cosmological dynamics and parameters of cosmological perturbations. In contrast to the previously considered inflation models with a quadratic dependence of the non-minimal coupling function on the Hubble parameter, here we consider a generalised analysis for arbitrary power-law dependence of these parameters of cosmological models. As an example of the proposed approach, cosmological models based on physical scalar field potentials for different types of non-minimal coupling of the scalar field and curvature are considered. Also, using the example of Starobinsky inflation, an assessment of the deviations of the proposed models from the case of Einstein gravity is given.