LRS Bianchi Type II Inflationary Universe with Massless Scalar Field

Abstract

Inflationary scenario in locally rotationally symmetric (LRS) Bianchi Type II space-time with massless scalar field with flat potential is discussed. To get the deterministic solution in terms of cosmic time , we have assumed that the scale factor , that is, and  = constant where is effective potential and is Higg's field. We find that spatial volume increases with time and the model isotropizes for large value of under special condition. The Higg's field decreases slowly and tends to a constant value when . The model represents uniform expansion but accelerating universe and leads to de-Sitter type metric.