String dust cosmological model in higher-dimensional space-time

Abstract

We have investigated the bulk viscous fluid string dust cosmological model in the higher dimensional space-time. To obtain a determinate solution, it is assumed that the coefficient of bulk viscosity is a power function of the energy density τ = τcρm(t) and the scalar of expansion is proportional to shear scalar, which leads to a relation between metric potentials A = KRn where A and R are functions of time. It is also observed that models appear to be singular at x = 1/b log (1 - b/a) and x = - 1/c in the presence and absence of bulk viscosity and for n = 1, the model represent an isotropic universe. The physical and geometrical aspects of the model are also discussed. © World Scientific Publishing Company.