Five Dimensional Cosmological Models in General Relativity

Abstract

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.

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

References in corpus (4)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• A Model to Explain Varying $\Lambda$, $G$ and ${\sigma }^2$ Simultaneously
• Bianchi Type-I Cosmological Models with Variable G and 4Λ$-Terms in General Relativity
• Scenario of inflationary cosmology from the phenomenological $\Lambda$ models