Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity

TL;DR

This paper explores the use of f(Q,T) gravity, a modified gravity theory, to model non-singular matter bounce cosmologies, analyzing energy conditions, stability, and cosmographic viability.

Contribution

It introduces a simplified formalism for f(Q,T) gravity and applies it to develop and validate bouncing cosmological models with energy condition violations.

Findings

Strong and null energy conditions are violated in the models.

Models are validated through cosmographic tests and stability analysis.

f(Q,T) gravity provides a viable framework for non-singular bouncing cosmologies.

Abstract

In the context of the late time cosmic acceleration phenomenon, many geometrically modified theories of gravity have been proposed in recent times. In this paper, we have investigated the role of a recently proposed extension of symmetric teleparallel gravity dubbed as f(Q,T) gravity in getting viable cosmological models, where Q and T respectively denote the non-metricity and the trace of energy momentum tensor. We stress upon the mathematical simplification of the formalism in the f(Q,T) gravity and derived the dynamical parameters in more general form in terms of the Hubble parameter. We considered two different cosmological models mimicking non-singular matter bounce scenario. Since energy conditions play a vital role in providing bouncing scenario, we have analyzed different possible energy conditions to show that strong energy condition and null energy condition be violated in this theory. The models considered in the work are validated through certain cosmographic tests and stability analysis.