Cosmological models in Barber's second self-creation theory

Abstract

An attempt has been taken to solve the field equations of Barber's second self creation theory with a perfect fluid in an inhomogeneous anisotropic Locally rotationally symmetric Bianchi type I space-time where the metric potentials are arbitrary functions of x and t. Because of the mathematical complexities, for particular forms of metric potentials vacuum, Zeldovich and radiation models are determined. It is shown that ρ-vacuum model does not exist with the above choice of metric potentials. Even though the geometrical structure of Zeldovich and radiation models are the same and reveal same physical behaviour but they are governed by different Barber's scalar.