Correspondence Between 5d Ricci-Flat Cosmological Models and Quintessence Dark Energy Models
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).
- Publication:
-
Modern Physics Letters A
- Pub Date:
- 2005
- DOI:
- arXiv:
- arXiv:astro-ph/0507397
- Bibcode:
- 2005MPLA...20.3105X
- Keywords:
-
- 04.50.+h;
- 98.80.-k;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Cosmology;
- Astrophysics;
- General Relativity and Quantum Cosmology
- E-Print:
- ws-mpla.cls, 10 pages, 4 figures, to be published in MPLA, one reference added, four eps figures changed