Bianchi Type I Magnetized Stiff Fluid Models with Bulk Viscosity in Lyra Geometry

In the present study, we have investigated Bianchi Type I cosmological model for stiff fluid or Zel’dovich fluid distribution with magnetic field and bulk viscosity in the frame work of Lyra geometry. To get the deterministic model, we have also assumed a condition that eigen value (σ11\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \sigma_{1}^{1} $$\end{document}) of shear tensor (σij\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \sigma_{\text{i}}^{\text{j}} $$\end{document}) is proportional to the expansion (θ) in the model. This leads to A = (BC)n where A, B, C are metric potentials and n is a constant. The physical and geometrical aspects of the model in presence and absence of magnetic field and bulk viscosity are also discussed.