A Cosmological Model with Varying G & Λ

Abstract

In this paper we study the Einstein’s field equations with variable gravitational and cosmological “constants” for a spatially homogeneous and anisotropic Bianchi type-I space time. To study the transit behaviour of universe, we consider a law of variation of scale factor which yields a constant value of deceleration parameter comprising a class of models that depicts a transition of the universe from the early decelerated phase to the recent accelerating phase. Cosmological models admitting binary mixture of perfect fluid and dark energy. The physical significance of the cosmological models are also discussed.