Dark energy constraint on equation of state parameter in the Weyl type $f(Q,T)$ gravity

Abstract

The equation of state parameter is a significant method for characterizing dark energy models. We investigate the evolution of the equation of state parameter with redshift using a Bayesian analysis of recent observational datasets (the Cosmic Chronometer data (CC) and Pantheon samples). The Chevallier-Polarski-Linder parametrization of the effective equation of state parameter, $\ddot{I}{‰}_{eff}=\ddot{I}{‰}_0+\ddot{I}{‰}_a\left(\frac{z}{1+z}\right)$, where $\ddot{I}{‰}_0$ and $\ddot{I}{‰}_a$ are free constants, is confined to the Weyl type $f(Q,T)$ gravity, where $Q$ represents the non-metricity and $T$ is the trace of the energy-momentum tensor. We observe the evolution of the deceleration parameter $q$, the density parameter $\ddot{I}$, the pressure $p$, and the effective equation of state parameter $\ddot{I}‰$. The cosmic data limit for $\ddot{I}‰$ does not exclude the possibility of $\ddot{I}‰<-1$. It is seen that the parameter $\ddot{I}‰$ shows a transition from deceleration to acceleration, as well as a shift from $\ddot{I}‰>-1$ to $\ddot{I}‰<-1$.

Annals of Physics accepted version