Reconstructing f(Q) gravity from parameterization of the Hubble parameter and observational constraints

Abstract

In the present work our aim is to construct FRW cosmological models in the framework of $f\left(Q\right)$ theory of gravity. We explore the accelerating behavior of the universe for particular form of $f\left(Q\right)$ gravity model using a new simple parameterization of the Hubble parameter of the form$H\left(z\right)=\frac{H_0}{\sqrt{2}}{[1+{(1+z)}^{\left(2\right(1+\alpha \left)\right)}]}^{\frac{1}{2}}.$ We constraint on the associated free parameters present in $H\left(z\right)$ within 1σ, 2σ and 3σ confidence limits by ${\chi }^2$-minimization technique. We have found that all obtained values fall within the range as suggested by cosmological observations. By employing the best-fit values of the free parameters, we have determined the present values of the geometrical parameters and demonstrated the accelerating behavior of the Universe. We have discussed the physical behavior of the universe in our model through physical parameters like the energy density, pressure, equation of state parameter. Also, we have examined the kinematic variables of the universe in our model such as Hubble parameter, deceleration parameter, and age of the universe. In our model, the deceleration parameter $q\left(z\right)$ indicates the universe's phase change from deceleration to acceleration. Moreover, the current value of the deceleration parameter is $q_0=-{0.348}_{-0.0095}^{+0.0085}$ and $q_0=-{0.351}_{-0.011}^{+0.010}$ with transition redshift value $z_t={0.58}_{-0.015}^{+0.018}$ and $z_t={0.59}_{-0.012}^{+0.015}$ by bounding our model with OHD and OHD + Pantheon compilation of SN Ia observational data. Our analysis also ensures that the model in derived universe behaves like standard ΛCDM model at late times.