Bianchi type I magnetized cosmological model for barotropoic fluid distribution in Lyra geometry

Abstract

Bianchi type I cosmological model for barotropic fluid distribution with magnetic field in Lyra geometry is investigated. To get the deterministic solution in terms of comic time t, we have assumed that (eigenvalue of shear tensor ) is proportional to expansion (q). This leads to A = (BC)n, where A, B and C are metric potentials and n is a constant. We also assume that current is flowing along x-axis, therefore, the magnetic field is in yz-plane. The behaviour of the model in the presence and absence of the magnetic field is discussed. We find that the model starts with a big-bang and the expansion in the model decreases as time increases. The displacement vector decreases slowly with time. The model possesses point type and cigar type singularities under different conditions. It has been shown that particle horizon exists in the model. The present investigation is new and is different from other author’s solution. The physical and geometrical aspects of the model in the presence and absence of magnetic field are also discussed. Key words: Bianchi I, magnetized, cosmological, barotropic, Lyra geometry.