# Bouncing cosmology in an Extended Theory of Gravity

## TL;DR

This paper explores bouncing cosmological models within an extended gravity framework that modifies Einstein's theory by including a trace-dependent term, analyzing their dynamics and late-time acceleration.

## Contribution

It introduces and analyzes bouncing models in an extended gravity theory with a trace term, highlighting effects on cosmic evolution and late-time acceleration.

## Key findings

- Non-singular bouncing models support late-time cosmic acceleration.
- Near the bounce, dynamics are significantly influenced by the coupling parameter.
- Models exhibit behavior consistent with observed cosmic speed-up.

## Abstract

We have investigated some bouncing models in the framework of an extended gravity theory where the usual Ricci scalar in the gravitational action is replaced by a sum of the Ricci scalar and a term proportional to the trace of the energy momentum tensor. The dynamical parameters of the model are derived in most general manner. We considered two bouncing scenarios through an exponential and a power law scale factor. The non singular bouncing models also favour a late time cosmic speed up phenomenon. The dynamical behaviour of the equation of state parameter is studied for the models. It is observed that, near the bounce, the dynamics is substantially affected by the coupling parameter of the modified gravity theory as compared to the parameters of the bouncing scale factors.