Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-02-18
Mod.Phys.Lett. A21 (2006) 571-580
Astronomy and Astrophysics
Astrophysics
8 pages, 6 figures, ws-mpla.cls, Mod. Phys. Lett. A, Vol. 21, No. 7 (2006) pp. 571-579
Scientific paper
10.1142/S0217732306019797
We use Wetterich's parameterization equation of state (EOS) of dark energy to a $5D$ Ricci-flat cosmological solution and we suppose the universe contains three major components: matter, radiation and dark energy. By using the relation between the scale factor and the redshift $z$, we show that the two arbitrary functions contained in the $5D$ solution could be solved out analytically in terms of the variable $z$. Thus the whole $5D$ solution could be constructed uniquely if the current values of the three density parameters $\Omega_{m0}$, ${\Omega_{r0}}$, $\Omega_{x0}$, the EOS $w_{0}$%, and the bending parameter $b$ contained in the EOS are all known. Furthermore, we find that all the evolutions of the mass density $\Omega_{m} $, the radiation density ${\Omega_{r}}$, the dark energy density $\Omega_{x}$, and the deceleration parameter $q$ depend on the bending parameter $b$ sensitively. Therefore it is deserved to study observational constraints on the bending parameter $b$.
Liu Hongya
Wesson Paul S.
Xu Lixin
Zhang Chengwu
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