Power law inflation with a non-minimally coupled scalar field in light of Planck and BICEP2 data: The exact versus slow roll results

TL;DR

This paper investigates power law inflation with a non-minimally coupled scalar field, comparing exact and slow roll solutions, and constrains model parameters using recent Planck and BICEP2 data, finding slow roll approximation less favored.

Contribution

It provides an exact analysis of power law inflation with non-minimal coupling and assesses the validity of slow roll approximation against observational data.

Findings

Slow roll approximation is disfavored with non-minimal coupling.

Constraints on model parameters from Planck and BICEP2 data.

Exact solutions differ from slow roll predictions in this context.

Abstract

We study power law inflation in the context of non-minimally coupled to the scalar curvature. We analyze the inflationary solutions under an exact analysis and also in the slow roll approximation. In both solutions, we consider the recent data from Planck and BICEP2 data to constraint the parameter in our model. We find that the slow roll approximation is disfavored in the presence of non-minimal couplings during the power law expansion of the Universe.