A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity

TL;DR

This paper develops a normalized dynamical system approach to f(R) gravity, producing analytical and numerical bouncing cosmological models that exhibit late-time acceleration, with potential for broader application.

Contribution

It introduces a normalized system of equations for f(R) gravity that enables simple analytical and numerical solutions for bouncing and accelerating cosmologies.

Findings

Derived analytical solutions for bouncing models

Numerical solutions demonstrating late-time acceleration

Framework applicable to various f(R) gravity models

Abstract

We consider the field equations for a flat FRW cosmological model, in a generic $f(R)$ gravity model and cast them into a, completely normalized-dimensionless, system of O.D.Es for the scale factor and the function $f(R)$, with respect to the scalar curvature $R$. It is shown that under reasonable assumptions one can produce simple analytical and numerical solutions describing bouncing cosmological models where in addition there are late-time accelerating. Possibility of extending these results is briefly discussed.