Bouncing cosmology in $f(R,T)$ gravity

TL;DR

This paper develops a bouncing cosmological model within $f(R,T)$ gravity, demonstrating conditions under which the universe avoids initial singularity and satisfies physical and geometrical constraints.

Contribution

It introduces a specific Hubble parameter form in $f(R,T)$ gravity that successfully models a non-singular bouncing universe, expanding the scope of alternative cosmological scenarios.

Findings

The model satisfies all necessary conditions for a successful bouncing universe.

Constraints on parameters ensure physical viability of the model.

The scenario is demonstrated with specific parameter values.

Abstract

A cosmological model with a specific form of the Hubble parameter is constructed in a flat homogeneous, and isotropic background in the framework of $f(R, T)$ gravity, where $R$ is the scalar curvature and $T$ is the trace of the stress-energy-momentum tensor. The proposed functional form of the Hubble parameter is taken in such a way that it fulfills the successful bouncing criteria to find the solution of the gravitational field equations provided the Universe is free from initial singularity. The various constraints on the parameters are involved in the functional form of the Hubble parameter which is analyzed in detail. In addition, we explore physical and geometrical consequences of the model based on the imposed constraints. Furthermore, we demonstrate the bouncing scenario which are realized in our model with some particular values of the model parameters. As a result, we find that all of the necessary conditions are satisfied for a successful bouncing model.