Phantom cosmologies from the simplest parameterization of the DE model using observational data in a BI type universe

Abstract To scrutinize the nature of dark energy, many equations of state have been proposed. In this context, we examine the simplest parameterization of the equation of state parameter of dark energy in an anisotropic Bianchi type I universe compared with the ΛCDM model. Using different combinations of data samples, including Pantheon and Pantheon + H ( z ), alongside applying the minimization of the function of the distance modulus of data samples, we obtain the constrained values of cosmographic parameters in the parameterization of the dark energy scenario. One condition of the phantom barrier crossing is acquired. Several physical properties of the universe are discussed by considering the anisotropy effect and different observational data points. One should note that the deductions of the cosmological parameter verify recent observational data.