Bouncing cosmological models in a functional form of F(R) gravity

TL;DR

This paper explores bouncing cosmological models within F(R) gravity, analyzing two functional forms and demonstrating stable bouncing scenarios with violation of strong energy conditions.

Contribution

It introduces two specific F(R) functional forms that produce stable bouncing cosmologies in an isotropic, homogeneous universe.

Findings

Both models exhibit bouncing behavior.

Strong energy conditions are violated in both models.

Models show stable behavior over cosmic time.

Abstract

We have investigated some bouncing cosmological models in an isotropic and homogeneous space time with the F(R) theory of gravity. Two functional forms of F(R) have been investigated with a bouncing scale factor. The dynamical parameters are derived and analysed along with the cosmographic parameters. The analysis in both the models show the occurrence of bouncing scenario. The violation of strong energy conditions in both models is also shown. In the stability point of view we have analysed the behaviour of F_R = dF/dR with respect to cosmic time and both the models exhibit stable behaviour.