BIANCHI TYPE VI0 INFLATIONARY COSMOLOGICAL MODEL IN GENERAL RELATIVITY

Abstract

Bianchi Type VI0 inflationary cosmological model with flat potential in General Relativity, is investigated. To get the deterministic solution in terms of cosmic time t, we assume that σ (shear) is proportional to expansion (θ) where [Formula: see text] Thus [Formula: see text], leads to A = Bn where A and B are metric potentials and n is a constant. We find that spatial volume increases with time. Hence inflationary scenario exists in the model. Since [Formula: see text] in general. Thus the model represents anisotropic universe throughout. However, if [Formula: see text] then the model isotropizes. This result matches with astronomical observations. The model represents decelerating and late time acceleration which matches with recent astronomical observations Riess et al. [29], Perlmutter et al. [30]. The model has Point Type singularity at [Formula: see text] (MacCallum [31]). The rate of Higg’s field (φ) decreases with time.