Time-dependent Λ in Bianchi Type IX Cosmological Model with Barotropic Perfect Fluid in C-field Theory

Abstract

Bianchi type IX cosmological model for barotropic fluid distribution in creation field cosmology with varying cosmological term Λ is investigated. To get deterministic solution we assume that Λ=1/R² as considered by Chen and Wu, where R is a scale factor and A = B where A and B are metric potentials. We find that creation field (C) increase with time and Λ~ 1/t ²which matches with the result of HN theory. We have also discussed special cases of model (28) like dust filled universe (γ= 0), stiff fluid universe (γ = 1) and radiation dominated universe (γ = 1/3).