Correspondence Between $5D$ Ricci-Flat Cosmological Models and Quintessence Dark Energy Models

Details Correspondence Between $5D$ Ricci-Flat Cosmological Models and Quintessence Dark Energy Models Correspondence Between $5D$ Ricci-Flat Cosmological Models and Quintessence Dark Energy Models

2005-07-18

arxiv.org/abs/astro-ph/0507397v5

Mod.Phys.Lett.A20:3105-3114,2005

Astronomy and Astrophysics

Astrophysics

ws-mpla.cls, 10 pages, 4 figures, to be published in MPLA, one reference added, four eps figures changed

Scientific paper

10.1142/S0217732305018402

We study the accelerating expansion and the induced dark energy of the $5D$ Ricci-flat universe which is characterized by having a big bounce as opposed to a big bang. We show that the arbitrary function $\mu(t)$ contained in the $5D$ solutions can be rewritten in terms of the redshift $z$ as a new arbitrary function $f(z)$, and we find that there is a correspondence between this $f(z)$ and the potential $V(\phi)$ of the 4D quintessence models. Using this correspondence, the arbitrary function $f(z)$ and the $5D$ solution could be specified for a given form of the potential $V(\phi)$.

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