Rescaled Einstein–Hilbert gravity: Inflation and the Swampland criteria

In this work we shall study a class of $f(R,\phi)$ gravity models which during the inflationary era, is large curvature regime, result to an effective Lagrangian that contains rescaled Einstein-Hilbert term $\alpha R$ in presence canonical minimally coupled scalar field. The dimensionless parameter $\alpha$ chosen take values range $0<\alpha<1$ and main motivation for studying these gravities, fact action may render otherwise incompatible field theory with Swampland criteria, be compatible criteria. As will show, by number potentials appearing 2018 Planck collaboration article constraints on inflation, simultaneous compatibility both achieved some models, characteristic possible, small must take.