The dynamics of matter bounce cosmology in Weyl-type $f(Q,T)$ gravity

TL;DR

This paper explores a Weyl-type $f(Q,T)$ gravity model to analyze matter-bounce cosmologies as a potential way to avoid the Big Bang singularity, focusing on stability and dynamical behavior.

Contribution

It introduces a specific $f(Q,T)$ model within Weyl gravity and examines its dynamical stability for bouncing cosmology scenarios, offering insights into alternative gravity theories.

Findings

The model can produce stable bouncing solutions.

Weyl-type $f(Q,T)$ gravity influences cosmological dynamics.

Potential to avoid Big Bang singularity in this framework.

Abstract

In this work, we investigate the dynamics of bouncing cosmologies within the framework of Weyl-type $f(Q,T)$ gravity. Here, $Q$ represents the non-metricity of the space-time, is determined by the vector field $w_\mu$, while $T$ represents the trace of the matter energy-momentum tensor. Our objective is to explore the feasibility of avoiding the Big Bang singularity by implementing a matter-bounce cosmology. To achieve this, we consider a specific model with the functional form $f(Q,T)=\alpha Q+\frac{\beta }{6\kappa ^2}T$, where $\alpha$ and $\beta$ are model parameters. We analyze the dynamical parameters associated with this model and examine the influence of the Weyl-type $f(Q,T)$ theory on these parameters. Moreover, we assess the stability of the proposed model to ensure its viability as a cosmological scenario. Through our analysis, we aim to gain insights into the potential implications and consequences of Weyl-type $f(Q,T)$ gravity for bouncing scenarios, contributing to our understanding of alternative gravitational theories in the context of cosmology.