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

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) 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 ACDM limits, we computed the constraints on the model parameters using the Bayesian analysis for the Observational Hubble data (OHD) and the Pantheon sample (SNe Ia). 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 - sigma and 2 - sigma 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.