$f(\phi) R$-models for inflation

TL;DR

This paper explores $f() R$-models for inflation, analyzing scalar fields coupled with gravity, and presents models consistent with recent Planck data, advancing theoretical understanding of early universe inflation.

Contribution

It introduces and analyzes specific $f() R$-models for inflation that align with latest observational constraints, offering new theoretical frameworks.

Findings

Models compatible with Planck data

Various scalar-gravity coupling examples

Realistic inflationary scenarios

Abstract

In this paper, we investigate models where a scalar field driving inflation is minimally coupled with gravity and it is subjected to a scalar potential. We present several examples of coupling between the field and gravity, and we furnish realistic models for inflation in agreement with the last Planck results.