Inflationary Cosmology with a scalar-curvature mixing term [formula omitted

Abstract

We use the PLANCK 2018 and the WMAP data to constraint inflation models driven by a scalar field ϕ in the presence of the non-minimal scalar-curvature mixing term 12ξRϕ2. We consider four distinct scalar field potentials ϕpe−λϕ,(1−ϕp)e−λϕ,(1−λϕ)p and αϕ21+αϕ2 to study inflation in the non-minimal gravity theory. We calculate the potential slow-roll parameters, predict the scalar spectral index ns, tensor-to-scalar ratio r, leading and higher order non-Gaussianity parameters (fNL,τNL and gNL) and the amplitude of the scalar spectrum As in the parameter space (λ,p,α) of the potentials corresponding to different values of the non-minimal coupling parameter ξ. We have compared our results with the ones existing in the literature, and this indicates the present status of non-minimal inflation after the release of the PLANCK 2018 data.