Bianchi type-I Cosmological Model with Constant Deceleration Parameter in Brans-Dicke Theory of Gravitation

Abstract

Bianchi type-I cosmological model in presence of perfect fluid source with disordered radiation in Brans-Dicke(1961) (Phys. Rev. 124, 925) theory is investigated. Einstein’s field equations are solvable with help of variation law of Hubble parameter, which yields a constant value of deceleration parameter. The law generates power-law and exponential form of 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 physical and kinematical properties of the models are discussed. It has been shown that the solutions are compatible with recent observations.