Five Dimensional Cosmological Models in General Relativity

Details Five Dimensional Cosmological Models in General Relativity Five Dimensional Cosmological Models in General Relativity

2010-07-03

arxiv.org/abs/1007.0479v2

Int.J.Theor.Phys.49:2348-2357,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures, accepted in Int. J. Theor. Phys

Scientific paper

10.1007/s10773-010-0421-3

A Five dimensional Kaluza-Klein space-time is considered in the presence of a perfect fluid source with variable G and $\Lambda$. An expanding universe is found by using a relation between the metric potential and an equation of state. The gravitational constant is found to decrease with time as $G \sim t^{-(1-\omega)}$ whereas the variation for the cosmological constant follows as $\Lambda \sim t^{-2}$, $\Lambda \sim (\dot R/R)^2$ and $\Lambda \sim \ddot R/R$ where $\omega$ is the equation of state parameter and $R$ is the scale factor.

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