Study of N-Dimensional Kaluza-Klein String Cosmological Model

Abstract

In this paper, a new class of cosmological model with Kaluza-Klein metric in f(R) theory of gravity is discussed. We find the exact solution of field equations by assuming f(R) = R and by taking equation of state ρ = kλ, where ρ is the rest energy density for the cloud of strings and λ is the tension density. The physical and geometrical properties of the model are also discussed. Results obtained by using these conditions are very interesting about the behavior of this universe.