Interaction of divergence-free deceleration parameter in Weyl-type $f(Q,T)$ gravity

Abstract

We study an extension of symmetric teleparallel gravity i.e. Weyl-type $f(Q,T)$ gravity and the divergence-free parametrization of the deceleration parameter $q(z)=q_0+q_1\frac{z(1+z)}{1+z^2}$ ($q_0$ and $q_1$ are free constants) to explore the evolution of the universe. By considering the above parametric form of $q$, we derive the Hubble solution and further impose it in the Friedmann equations of Weyl-type $f(Q,T)$ gravity. To see whether this model can challenge the $\hat{I}›$CDM limits, we computed the constraints on the model parameters using the Bayesian analysis for the Observational Hubble data ($OHD$) and the Pantheon sample ($SNeIa$). Furthermore, the deceleration parameter depicts the accelerating behavior of the universe with the present value $q_0$ and the transition redshift $z_t$ (at which the expansion transits from deceleration to acceleration) with $1-\ddot{I}ƒ$ and $2-\ddot{I}ƒ$ confidence level. We also examine the evolution of the energy density, pressure, and effective equation of state parameters. Finally, we demonstrate that the divergence-free parametric form of the deceleration parameter is consistent with the Weyl-type $f(Q,T)$ gravity.

Chinese Journal of Physics published version