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

Lixin Xu·Hongya Liu·Baorong Chang
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Abstract

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 $μ(t)$ 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 $V(ϕ)$ 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 $V(ϕ)$.

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Lixin Xu, Hongya Liu, Baorong Chang. 2005-12-26. Correspondence Between $5D$ Ricci-Flat Cosmological Models and Quintessence Dark Energy Models. https://doi.org/10.1142/s0217732305018402

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