Cosmological dynamics of a class of non-minimally coupled models of gravity

TL;DR

This paper introduces a new non-minimally coupled gravity model with a function of scalar curvature, analyzes its cosmological dynamics, and explores conditions for accelerated expansion using dynamical systems.

Contribution

It presents a novel non-minimally coupled $f(R)$ gravity model and investigates its cosmological behavior through dynamical system analysis.

Findings

Model can produce accelerated expansion phases.

Power-law and exponential forms of $f(R)$ are viable.

Dynamical system analysis reveals stable cosmological solutions.

Abstract

In this work a new non-minimally coupled model is presented, where a generic function $f(R)$ of the scalar curvature factors the usual Einstein-Hilbert action functional, motivated by relevant results obtained from similar models. Its cosmological dynamics are derived and the possibility of attaining a phase of accelerated expansion is assessed. To further probe the possible implications of the model, a dynamical system formulation is established, and used to assess the scenarios where $f(R)$ assumes a power-law or exponential form.