Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant

TL;DR

This paper proposes a modified $f(R)$ inflationary model with polynomial and logarithmic corrections, demonstrating its viability and consistency with observational data through stability analysis and cosmological parameter calculations.

Contribution

It introduces a novel $f(R)$ inflation model combining polynomial and logarithmic terms and analyzes its stability and observational viability.

Findings

Model satisfies slow-roll conditions with both corrections

The model is stable and viable according to critical point analysis

Results are consistent with Planck 2015 data

Abstract

In this paper, we consider an inflationary model of $f(R)$ gravity with polynomial form plus logarithmic term. We calculate some cosmological parameters and compare our results with the Plank 2015 data. We find that presence of both logarithmic and polynomial corrections are necessary to yield slow-roll condition. Also, we study critical points and stability of the model to find that it is a viable model.