Bianchi Type-I Universe in Lyra Manifold with Quadratic Equation of State

摘要

In this study, we have solved Einstein field equations for Bianchi type I universe model in Lyra manifold with quadratic equation of state (EoS) p = αρ(t)~2 - ρ(t). Where α ≠0 is an important constant. Cosmic pressure, density and displacement vector (β~2) are related with α constant. In this study β~2 is a decreasing function of time and behaves like a cosmological constant. These solutions agree with the studies of Halford, Pradhan and Singh, Aygun et al., Agarwal et al., Yadav and Haque as well as SN I_a observations.