Kaluza–Klein Cosmological Model, Strange Quark Matter, and Time-Varying Lambda

Abstract

In this paper, exact solutions of the Einstein field equations of the Kaluza-Klein cosmological model have been obtained in the presence of strange quark matter. We have considered the timevarying cosmological constant Λ as Λ = αH2 + βR-2, where α and β are free parameters. The solutions are obtained with the help of the equation of state for strange quark matter as per the Bag model, i.e. quark pressure p = 1/3(ρ - 4BC), where BC is Bag’s constant. We also discussed the physical implications of the solutions obtained for the model for different types of universes.

Dark energy cosmological model with anisotropic fluid and time varying lambda in Kaluza-Klein metric

“…A rich literature on Kaluza-Klein cosmological models is now available which has been studied in various contexts. The Kaluza-Klein models with different forms of matter in the presence of generalized lambda (Λ = αH 2 +βR -2 ) have been investigated by Chodos & Detweiler [52], Singh et al [53], and Jain et al [54][55][56][57]. These models have demonstrated the effects of extra dimensions on the nature of dark energy and various physical parameters.…”