Transit cosmological models in modified f(Q,T) gravity

Abstract

[Formula: see text] gravity is a recently proposed modified theory of gravity due to Xu et al. ([Formula: see text]). It is an extension of the symmetric teleparallel gravity, in which the gravitational action is given by an arbitrary function [Formula: see text] of the non-metricity tensor [Formula: see text] and the trace of energy-momentum tensor [Formula: see text]. In this paper also, we have investigated the cosmological model with Friedmann–Lemaitre–Robertson–walker (FLRW) Universe in [Formula: see text] theory with [Formula: see text]. Applying the energy conservation condition [Formula: see text], we have obtained the various cosmological parameters viz. Hubble parameter [Formula: see text], deceleration parameter [Formula: see text], etc. in terms of redshift [Formula: see text]. Using the available observational Hubble datasets [Formula: see text], the best fit values of the model parameters are determined by the [Formula: see text]-test formula. For these obtained values of model parameters, our model represents a transit cosmological model with past decelerating to present accelerating expansion phase of the Universe with the present value [Formula: see text]. The point of signature-flipping (transition) is calculated as [Formula: see text]. We have analyzed the variations of physical parameters viz. matter energy density [Formula: see text], isotropic pressure [Formula: see text], equation of state [Formula: see text] with respect to redshift [Formula: see text] and coupling parameter [Formula: see text]. For checking the viability of our derived model, we have tested energy conditions and also performed statefinder diagnosis. The age of the Universe is also calculated.