The dynamics of matter bounce cosmology in Weyl-type [formula omitted] gravity

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 wμ, 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)=αQ+β6κ2T, where α and β 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.