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 Omega(m0) = 0.297 +/- 0.031, anisotropy parameter Omega(sigma 0) = -0.004 01 +/- 0.001 07 within 1 sigma' 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 omega(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) similar to 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.