Constraining a bulk viscous Bianchi type I dark energy dominated universe with recent observational data

Abstract

In this paper, we have investigated a bulk viscous universe with dominance of dark energy in Bianchi type I space-time and constrained its parameter with observational $H(z)$ data (OHD) and joint OHD and Pantheon compilation of SN Ia data. We constrain Hubble's constant ${H}_{0}=69.3{8}_{\ensuremath{-}1.54}^{+1.57}$ and ${H}_{0}=70.01{7}_{\ensuremath{-}1.60}^{+1.62}\text{ }\text{ }\mathrm{km}\text{ }{\mathrm{s}}^{\ensuremath{-}1}\text{ }{\mathrm{Mpc}}^{\ensuremath{-}1}$ by bounding this model with OHD and joint OHD and Pantheon compilation of SN Ia data respectively. These estimated values of ${H}_{0}$ have $1.27\ensuremath{\sigma}$ and $1.69\ensuremath{\sigma}$ tension with its corresponding Planck collaboration value. We have constrained the best fit value of model parameter $\ensuremath{\zeta}$ as $\ensuremath{\zeta}=0.00002{7}_{\ensuremath{-}0.00052}^{+0.00052}$ and $\ensuremath{\zeta}=0.00003{3}_{\ensuremath{-}0.00296}^{+0.00296}$ respectively for the above observational datasets. We also have obtained a kinematic expression for deceleration parameter and constrained its present value ${q}_{0}=\ensuremath{-}0.58{2}_{\ensuremath{-}0.023}^{+0.021}$ and transition redshift ${z}_{t}=0.72{3}_{\ensuremath{-}0.16}^{+0.34}$. Furthermore, we observe that the derived model exhibits the properties of transitioning the universe and its present age is ${t}_{0}=14.0{4}_{\ensuremath{-}0.32}^{+0.33}\text{ }\text{ }\mathrm{Gyrs}$. The kinematics of the Om(z) parameter and the jerk parameter are also discussed and the analysis of these parameters shows a marginal departure of the derived model from the $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ model of the universe.