Universe Evolution in a 5D Ricci-flat Cosmology

Abstract

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 $b$.

8 pages, 6 figures, ws-mpla.cls, Mod. Phys. Lett. A, Vol. 21, No. 7 (2006) pp. 571-579

Cited by in corpus (8)

• Parametrizations of the Dark Energy Density and Scalar Potentials
• Modified Brans-Dicke theory of gravity from five-dimensional vacuum
• Statefinder Parameters for Five-Dimensional Cosmology
• Reconstruction of 5D Cosmological Model From Recent Observations
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Exact solutions of embedding the 4D Universe in a 5D Einstein manifold
• Dark Energy in Global Brane Universe
• $5D$ Solutions to $\Lambda$CDM Universe Derived from Global Brane Model