Evolutionary behaviour of cosmological parameters with dynamical system analysis in f (Q, T) gravity

Abstract

We have investigated the accelerating behaviour of the universe in $f(Q,T)$ gravity in an isotropic and homogeneous space-time. We have initially derive the dynamical parameters in the general form of $f(Q,T)=\alpha Q^m+\beta T$ [Xu et al., Eur. Phys. J. C, \textbf{79}, 708 (2019)] and then split it into two cases (i) one with $m=1$ and the (ii) other with $\beta =0$. In the first case, it reduces to the linear form of the functional $f(Q,T)$ and second case leads to the higher power of the nonmetricity $Q$. In an assumed form of the hyperbolic scale factor, the models are constructed and its evolutionary behaviours are studied. The geometrical parameters as well the equation of state parameter are obtained and found to be in the preferred range of the cosmological observations. Marginal variation has been noticed in the behaviour of $\omega$ and ${\omega }_{eff}$ at present time. The violation of strong energy conditions in both the cases are shown. The dynamical system analysis for the models has been performed.

17 pages, 8 figures

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Cited by in corpus (10)

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• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• Gravitational tensor and scalar modes in $f(Q,B)$ non-metric gravity
• Constrained cosmological model in $f(Q,T)$ gravity with non-linear non-metricity
• Tracing cosmic evolution through Weyl-Type f(Q,T) gravity model: theoretical analysis and observational validation
• Observational constrained Weyl type $f(Q,T)$ gravity cosmological model and the dynamical system analysis
• Perturbation Spectra of Warm Inflation in $f(Q,T)$ Gravity
• Baryon asymmetry constraints on Extended Symmetric Teleparallel Gravity
• Exploring the Viability of $f(Q,T)$ Gravity: Constraining Parameters with Cosmological Observations