Intermediate inflation into generalized induced-gravity scenario

TL;DR

This paper explores an intermediate inflation model within a generalized induced-gravity framework, analyzing its dynamics and perturbations under slow roll approximation, and constraining parameters using Planck data.

Contribution

It introduces a novel inflationary scenario with a specific non-minimal coupling form and derives observational constraints on its parameters.

Findings

Constraints on model parameters from Planck data

Compatibility of the model with observed spectral indices

Analysis of inflationary trajectories in the r-ns plane

Abstract

An intermediate inflationary universe model within the context of non-minimally coupled to the scalar curvature is analyzed. We will conduct our analysis under the slow roll approximation of the inflationary dynamics and the cosmological perturbations considering a coupling of the form $F(\varphi)=\kappa+\xi_n\varphi^n$. Considering the trajectories in the $r-n_s$ plane from Planck data, we find the constraints on the parameter-space in our model.