Constrained f(Q,T) gravity accelerating cosmological model and its dynamical system analysis

Abstract

In this paper, we have presented an accelerating cosmological model of the Universe in an extended symmetric teleparallel gravity or f(Q,T) gravity. The parametric form of the Hubble parameter is, H(z)=H0[α+(1−α)(1+z)n]32n, where H0 and n are constants and for n=3, the ΛCDM scenario can be obtained. We have considered the logarithmic form of f(Q,T) as, f(Q,T)=−Q+βlog⁡(QQ0)+γT, where β and γ are the free model parameters. Using the Hubble, Baryon Acoustic Oscillations (BAO), and Type Ia Supernovae (SNe Ia) datasets, the present value of the Hubble parameter and other free parameters are constrained. Further other cosmographic and dynamical parameters are presented using the obtained constrained values of the Hubble and free parameters. The model shows the quintessence behavior of the Universe at the present time. The present value of the EoS parameter is obtained as, ω0=−0.56 for the Hubble+BAO+SNe datasets. The energy conditions are presented and the violation of the strong energy condition has been shown. We have performed the dynamical system analysis to validate the stability of the model. From the evolutionary plot obtained through the dynamical system variables, the present values of density parameters have been obtained as Ωm≈0.3 and Ωde≈0.7.