Lyra’s Geometry in a Bianchi Type II String Dust Cosmological Model with an Electromagnetic Field

Abstract

We have investigated a Bianchi type II string dust cosmological model with an electromagnetic field in Lyra’s Geometry. The magnetic field is due to the electric current flowing along the x-axis such that F₂₃ is the only non-vanishing component of F_ij. We have assumed the condition R = Sⁿ between a metric potential to get a determinate solution. We found that the model starts with big bang and expansion decreases with time. Furthermore, anisotropy is maintained throughout but the model isotropizes when n = 1. The physical and geometrical aspects of the model are also discussed.