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Z. Naturforsch. 69a, 90 – 96
(2014)
doi:10.5560/ZNA.2013-0079
Kaluza–Klein Cosmological Model, Strange Quark Matter, and Time-Varying Lambda
1 Dept. of Physics, Mahrshi Dayanand College, Parel, Mumbai-400012,Maharashtra, India
2 Dept. of Physics, RTM Nagpur University, Nagpur-440033, Maharashtra, India
3 Dept. of Mathematics, RTM Nagpur University, Nagpur-440033, Maharashtra, India
Received May 28, 2013 / revised October 2, 2013 / published online December 18, 2013
Reprint requests to: N. J.; E-mail:
nam_jain@rediffmail.com
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 time-varying 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.
Key words: Kaluza–Klein Cosmological Model; Bag Model; Cosmological Constant.
PACS numbers: 98.80-k; 98.80,Hw; 98.80 Vc