Bouncing cosmology in extended gravity and its reconstruction as dark energy model

TL;DR

This paper develops a bouncing cosmological model within extended gravity theories, analyzing its dynamics, stability, and potential to avoid singularities, and explores its reconstruction as a dark energy model.

Contribution

It introduces a new bouncing cosmology in extended gravity and demonstrates its stability and singularity avoidance through perturbation analysis.

Findings

Model exhibits singularity behavior at bounce

Coupling parameter influences singularity avoidance

Model remains stable under linear perturbations

Abstract

In this paper, we have presented a bouncing cosmological model of the Universe in an extended theory of gravity. The dynamical behaviour of the model obtained from the flat FLRW space-time along with the violation of null energy condition have been shown. The geometrical parameters show singularity behaviour at the bouncing epoch. The parameters involved in the scale factor play a major role in the bouncing behaviour. In addition, the coupling parameter that resulted in the minimal matter-geometry coupling in the extended gravity has significant role to avoid the singularity of equation of state parameter at the bouncing epoch. Using a linear homogeneous perturbation calculation, we show the stability of the model.