On inflation scenarios and dark energy in a scaled gravity

Abstract

In this paper, we investigate an inflation scenario and dark energy in a scaled gravity, [Formula: see text] where [Formula: see text] is a dimensionless gravity parameter, with a kinetic term. To reduce the associated moduli space, we implement such a parameter in a specific scalar potential given by [Formula: see text]. By computing the relevant cosmological observables including the spectral index [Formula: see text] and the tensor-to-scalar ratio [Formula: see text] via the slow-roll analysis, we provide certain inflationary constraints on [Formula: see text] from the Planck observational and the recent released BICEP/Keck data. By means of a possible Higgs-inflaton coupling, we discuss dark energy in the proposed scaled gravity within such an inflation model.