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In the present paper, we have been investigated a new dark energy model in anisotropic Bianchi-type-I (B-I) space-time with redshift-dependent equation of state (EoS) parameter. The Einstein’s field equations have been solved by applying a variation-law for hyperbolic scale factor Formula: see text which provides a time-dependent deceleration parameter and time-dependent EoS parameter. We also have been found the redshift-dependent EoS parameter. The existing range of the dark energy EoS parameter Formula: see text for derived model is found to be in good agreement with the recent observations. The cosmological constant Formula: see text is found to be a decreasing function of time and it approaches a small positive value at the present epoch which is collaborated by results from recent supernovae Ia observations. It has also been suggested that the dark energy that explains the observed accelerating universe may arise due to the contribution to the vacuum energy of the EoS in a time-dependent background. Geometric and Kinematic properties of the model and the behavior of the anisotropy of the dark energy have been discussed.
Dinesh Chandra Maurya (Wed,) studied this question.