ANISOTROPIC LRS BIANCHI MODEL WITH PERFECT FLUID IN LYRA MANIFOLD
R. N. PATRA
P.G. Department of Mathematics, Berhampur University, Odisha, India.
A. K. SETHI *
P.G. Department of Mathematics, Berhampur University, Odisha, India.
R. R. SWAIN
Department of Physics, U. P. Sc. College, Sheragada, Odisha, India.
*Author to whom correspondence should be addressed.
Abstract
In this article, we consider an anisotropic Locally Rotationally Symmetric (LRS) Bianchi type-I model with perfect fluid in the context of Lyra manifold. To obtain the solutions of Einstein field equations, we took the time depended displacement vector (t) as β0Hα, ∝>0 and the power law expansion of scale factor a(t) as a0tn,n >0 . The physical and geometrical behaviour of the model are discussed.
Keywords: LRS Bianchi type-I space-time, perfect fluid, Lyra manifold