Abstract
We investigate an exact Universe model which is observationally viable and filled with a binary mixture of a perfect fluid and the cosmological constant \(\Lambda\) . We consider the redshift drift \(\dot{z}=(1+z)H_{0}-H(z)\) and perform statistical tests to obtain the best fit value of the model parameters of the derived Universe with its observed values. Here, \(H_{0}\) and \(z\) denote the present value of the Hubble constant and the redshift, respectively. We estimate the best fit values of the Hubble constant and the density parameters as \(H_{0}=68.58\pm 0.84\) km/(s Mpc), \((\Omega_{m})_{0}=0.26\pm 0.010\) , and \((\Omega_{\Lambda})_{0}=0.71\pm 0.025\) by bounding the derived model with the latest observational Hubble data (OHD), while with joint Pantheon data and OHD, its values are \(H_{0}=71.93\pm 0.58\) km/(s Mpc), \((\Omega_{m})_{0}=0.272\pm 0.06\) , and \((\Omega_{\Lambda})_{0}=0.74\pm 0.09\) . The analysis of the deceleration and jerk parameters shows that the Universe in the derived model is compatible with the \(\Lambda\) CDM model. We also investigate that the cosmological models owning a redshift drift minimize the \(H_{0}\) tension.
