Bianchi Type-IX Inflationary Cosmological Models with Flat Potential and Constant Deceleration Parameter in General Relativity

Abstract

In this paper, we have studied about Bianchi type-IX inflationary cosmological models with flat potential and constant deceleration parameter in general relativity. To obtain deterministic solution of these models, we assume that expansion θ is proportional to shear σ, which leads to A = Bⁿ and potential V (ϕ) as constant. For two different constant value of deceleration parameter, we have obtained two different cosmological models. Behaviour of these models from physical and geometrical aspects is also discussed.