Weyl type f(Q,T) gravity observational constrained cosmological models

Abstract

In this paper, we have studied the dynamical aspects of the cosmological model of the Universe in the Weyl type f(Q,T) gravity, which is an extension of symmetric teleparallel gravity. The non-metricity scalar Q has been expressed in standard Weyl form and can be determined by a vector field wμ and the trace of energy momentum tensor denoted as T. The logarithmic form of the Hubble parametrization has been incorporated and the best fit values of the free parameters have been determined using 32CC sample points, 1701Pantheon+ and 6BAO data points. The present value of the H0≈70.2±4.6, H0≈68.69−0.59+0.67 and H0≈69.26−0.53+0.57 respectively for CCSample, CC+Pantheon+ and CC+Pantheon++BAO datasets. With the constrained values of the free parameters, the cosmographic parameters are constrained and the present value of each parameter has been noted. The deceleration parameter for CCSample, CC+Pantheon+ and CC+Pantheon++BAO datasets provides −0.5221, −0.5477 and −0.5691 respectively at present time. We have considered exponential and non-linear form of the Weyl type function f(Q,T) to assess the dynamical behaviour of the model. The accelerating cosmological models show the quintessence behaviour at present time as we get the present EoS parameter values obtained as ω≈−0.7068 and ω≈−0.6828 for CCSample, ω≈−0.6991 and −0.6949 for CC+Pantheon+ and ω≈−0.7001 and −0.7084 for CC+Pantheon++BAO respectively.