Using Pantheon and Hubble parameter data to constrain the Ricci dark energy in a Bianchi I Universe

In this work, we use the most recent publicly available type Ia supernova (SNIa) compilations and H ( z ) data. A well formulated cosmological model based on Bianchi type I (BI) metric is implemented in the presence of the Ricci dark energy model. Using the maximum likelihood technique, we estimate the present value of Hubble’s constant H 0 = 70.339 ± 0.743, matter density parameter Ω m 0 = 0.297 ± 0.031 , anisotropy parameter Ω σ 0 = −0.004 01 ± 0.001 07 within 1 σ ′ confidence level by bounding our derived model with recent joint Pantheon and H ( z ) data. We have constrained the present value of the equation of state parameter as ω de = −1.17 joint with the observational data. The present value of the deceleration parameter of the Universe in the derived model is obtained as q 0 = − 0.749 − 0.086 + 0.076 . Transition redshift is also derived as z tr ∼ 0.551 with the recent observations (Pantheon + H ( z )) datasets. Finally, we compare the anisotropy effects on the evolution of H ( z ) for the proposed model under consideration with different observational datasets.