Kaluza-Klein Type Robertson Walker Cosmological Model With Dynamical Cosmological Term $Λ$

Details Kaluza-Klein Type Robertson Walker Cosmological Model With Dynamical Cosmological Term $Λ$ Kaluza-Klein Type Robertson Walker Cosmological Model With Dynamical Cosmological Term $Λ$

2005-08-21

arxiv.org/abs/gr-qc/0508089v2

Int.J.Theor.Phys.47:1751-1763,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figure

Scientific paper

10.1007/s10773-007-9617-6

In this paper we have analyzed the Kaluza-Klein type Robertson Walker (RW) cosmological models by considering three different forms of variable $\Lambda$: $\Lambda\sim(\frac{\dot{a}}{a})^2$,$\Lambda\sim(\frac{\ddot{a}} {a})$ and $\Lambda \sim \rho$. It is found that, the connecting free parameters of the models with cosmic matter and vacuum energy density parameters are equivalent, in the context of higher dimensional space time. The expression for the look back time, luminosity distance and angular diameter distance are also derived. This work has thus generalized to higher dimensions the well-known results in four dimensional space time. It is found that there may be significant difference in principle at least, from the analogous situation in four dimensional space time.

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