Bulk viscous string cosmological models in f(R) gravity

Abstract

In this paper, we derive f(R) gravity field equations with the help of a spatially homogeneous and anisotropic Bianchi type-III space–time, in the presence of a bulk viscous fluid, containing one-dimensional cosmic strings. Here we obtained the solutions of the field equations, both in the presence and in the absence of cosmic strings, under some specific plausible physical conditions. In particular, cosmological models with bulk viscous strings in f(R) theory of gravity are obtained by using the special law of variation for Hubble’s parameter proposed by Berman (Nuovo Cimento, B74, 182 (1983)). Various physical and kinematical properties of the models are also discussed.