FRW Cosmology in $f(Q,T)$ Gravity

Abstract: In this paper, we considered the study of Friedmann-Robertson-Walker (FRW) model in the framework of $f(Q,T)$ gravity, an extension of symmetric teleparallel gravity, recently defined by Y. Xu et al. \cite{Xu}. The non-linear model $f(Q,T)=-\alpha Q-\beta T^2$, where $\alpha>0$ and $\beta>0$ are constants, is taken into account. The equation of state of perfect fluid is assumed and 31 points of Hubble data are used to constrain the value of model parameter. To explore the evolution of the universe, the numerical solutions of cosmological implications such as Hubble parameter, deceleration parameter, apparent magnitude and luminosity distance are determined and the energy conditions are examined. The theoretical results of Hubble parameter are compared with $\Lambda$CDM model. Further, 57 Supernova data (42 from Supernova cosmology project and 15 from Cal\'{a}n/ Tolono supernova survey) are also used to have consistent results of apparent magnitude and luminosity distance.