The inflationary scenario in the $f(R)$ gravity model with a $R^4$ term

TL;DR

This paper explores a complex $f(R)$ gravity model with multiple higher-order terms to determine its viability for cosmic inflation, finding conditions that align with recent PLANCK observational data.

Contribution

It introduces and analyzes a multi-term $f(R)$ gravity model with $R^2$, $R^3$, and $R^4$ terms for inflation, providing conditions for its physical viability.

Findings

Model can produce viable inflationary scenarios.

Results agree with PLANCK data.

Identifies conditions for physical consistency.

Abstract

We investigate the cosmic inflation scenario of a specific $f(R)$ model that contains more than one higher-order term in $R$. The $f(R)$ considered here has the terms $R^2$, $R^3$, and $R^4$ along with the linear term. A rigorous investigation has been carried out in the presence of these higher-order terms to figure out whether it leads to a physically sensible cosmic inflationary model. We examine in detail, subject to which conditions this $f(R)$ model renders a viable inflationary scenario, and it has been found that the outcomes of our study agree well with the recent PLANCK results.