Abstract

In this study, we investigate the consequence of the constant-roll condition and examine the role of a chosen form of gravity, given by in the cosmological inflation process. We analyze the inflationary scenario by calculating modified Friedmann equations and giving an alternative technique that enables relating modified slow-roll parameters to the constant roll parameter . Considering both chaotic and hilltop models, we calculate the spectral index and the tensor-to-scalar ratio and compare their compatibility with Planck’s data for different choices of the constant roll parameter . We examine the evolution of primordial black holes in our chosen modified gravity model taking into account the accretion process and the evaporation due to Hawking radiation. We compute the evaporation and accretion masses rate and provide an analytic estimation of the primordial black holes mass and of the radiation in the gravity model.