Higher dimensional Bianchi type-I string cosmological model in f(R) theory of gravity

Abstract

In this paper, we have studied Bianchi type-I string cosmological model by combining Kaluza-Klein (KK) theory and theory of gravity which is an extension of 5-dimensional KK string cosmological models. We have used equation of state in the form of p-string or Takabayasi string given by 1 , where ρ and λ denote the rest density of energy cloud of strings, and the tension density of the system of strings, respectively and ω is a constant. In order to get physically significant and viable solution various forms of the function are assumed, in this paper we assume (e.g. Astashenok et al. (2017) [1] ), where α is real number. Some physical and geometrical properties of the model are also discussed.

Energy Conditions with Interacting Field in f(R) Gravity

“…The models depict an expanding Universe following a power law after the Big Bang singularity, with the presence of accelerating or decelerating phases depending on the parameters [28]. Furthermore, the solutions of field equations have been explored for higher dimensional Kaluza-Klein cosmological models using string models in f (R) gravity, resulting in an accelerated expanding Universe [29].…”