Redshift Drift in the Universe: Theoretical Features and Observational Constraints

We investigate an exact Universe model which is observationally viable and filled with a binary mixture of a perfect fluid and the cosmological constant Λ . We consider the redshift drift ż=(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± 0.84 km/(s Mpc), (Ω_m)_0=0.26± 0.010 , and (Ω_Λ)_0=0.71± 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± 0.58 km/(s Mpc), (Ω_m)_0=0.272± 0.06 , and (Ω_Λ)_0=0.74± 0.09 . The analysis of the deceleration and jerk parameters shows that the Universe in the derived model is compatible with the Λ CDM model. We also investigate that the cosmological models owning a redshift drift minimize the H_0 tension.