Anisotropic cosmological models with conformally invariant scalar fields and constant deceleration parameter

Abstract

Einstein's field equations for a spatially homogeneous and anisotropic Bianchi type-I space-time in the presence of a conformally invariant scalar field are discussed and their solutions are obtained by applying the law of variation of Hubble parameter, which yields a constant value of the deceleration parameter. The law generates power-law and exponential forms of the average scale factor in terms of cosmic time. Exact solutions of the field equations that correspond to singular and non-singular cosmological models are presented by using the respective forms of the average scale factor.The kinematical properties of the models are discussed. It is observed that the solutions are consistent with the observations of the present-day universe.