A new $f(Q)$ cosmological model with $H(z)$ quadratic expansion

Abstract

We present a new $f(Q)$ cosmological model capable of reproducing late-time acceleration, i.e. $f\left(Q\right)={\lambda }_0{\left(\lambda +Q\right)}^n$ by supporting certain parametrization of the Hubble parameter. By using observational data from Hubble, Pantheon, and Baryonic Acoustic Oscillations (BAO) dataset, we investigate the constraints on the proposed quadratic Hubble parameter $H(z)$. This proposal caused the Universe to transition from its decelerated phase to its accelerated phase. Further, the current constrained value of the deceleration parameter from the combined Hubble+Pantheon+BAO dataset is $q_0=-0.285\pm 0.021$, which indicates that the Universe is accelerating. We also analyze the evolution of energy density, pressure, and EoS parameters to infer the Universe's accelerating behavior. Finally, we use a stability analysis with linear perturbations to assure the model's stability.

arXiv commentPhysics of the Dark Universe published version

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