Some Bianchi Type I Cosmological Models of the Universe for Viscous Fluid Distribution in Lyra Geometry

Some Bianchi type I cosmological models of the universe with time dependent gauge function β for viscous fluid distribution within the framework of Lyra geometry are investigated in which the expansion is considered only in two dimensions i.e. one of the Hubble parameter (H1 = Ȧ A) is zero. To get the deterministic solutions of Einstein’s modified field equations, the viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density and the coefficient of shear viscosity is considered as constant in first case whereas in other case it is taken as proportional to scale of expansion in the model. It has been found that the displacement vector β(t) behaves like cosmological term Λ in the normal gauge treatment and the solutions are consistent with the observations. Solution in absence of shear viscosity is also obtained. The displacement vector β(t) affects entropy. Some physical and geometrical properties of the models are discussed. c © Electronic Journal of Theoretical Physics. All rights reserved.