Stability analysis for a cosmologically viable model of $f(R)$ gravity

TL;DR

This paper analyzes the stability of a specific $f(R)$ gravity model, demonstrating it has a unique stable solution capable of explaining the universe's late-time acceleration.

Contribution

It provides a dynamic stability analysis of a particular $f(R)$ model, identifying its unique stable solution relevant for cosmology.

Findings

The model has one asymptotically stable solution.

This stable solution can account for late-time cosmic acceleration.

The model's stability supports its cosmological viability.

Abstract

In recent times, there has been an increasing interest with theories of modified gravity as a means to gain a deeper understanding of the universe's late-time acceleration phase. In this study we focused our attention on a specific cosmologically viable $f(R)$ model. We performed a dynamic stability analysis of this model, revealing that the model supports presence of just one asymptotically stable solution which can explain the present-day acceleration of the universe.