Transit two-fluid models in anisotropic Bianchi type-III space-time

Abstract

In the present paper, we are seeking some new exact solutions of Einstein’s field equations under the purview of a spatially homogeneous and anisotropic Bianchi type-III space-time, with the assumption that, the universe is filled with two fluid, barotropic fluid, and dark energy. For obtaining new solutions, which are consistent with recent observations, we have considered an average scale factor a(t)=(tαeβt)1n, and obtains a variable deceleration parameter q(t)=−1+αn(α+βt)2. For appropriate values of α, β and n, the proposed work, represents a transit model, showing the transition from decelerating (q > 0) to the present accelerating universe (q < 0). We have analyzed our model in the two contexts. First, when the two fluids do not interact with each other and second when these fluid interact. We have found that, the equation of state (EoS) for Dark Energy(DE) ω(de), during the evolution of the universe, in both the cases, approaches to −1.196 (phantom model,ω(de)<−1) at late time, showing consistency with recent observations. Also, we have investigated the characteristics with respect to cosmic redshift z and found very close to recent observational data. Some other geometric and physical properties of cosmological models are also studied.