Reconstruction of $5D$ Cosmological Models From Equation of State of Dark Energy

Abstract

We consider a class of five-dimensional cosmological solutions which contains two arbitrary function $\mu (t)$ and $\nu (t)$. We found that the arbitrary function $\mu (t)$ contained in the solutions can be rewritten in terms of the redshift $z$ as a new arbitrary function $f(z)$. We further showed that this new arbitrary function $f(z)$ could be solved out for four known parameterized equations of state of dark energy. Then the $5D$ models can be reconstructed and the evolution of the density and deceleration parameters of the universe can be determined.

10 pages, 4 eps figures, ws-ijmpd.cls style

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Cited by in corpus (11)

• Parametrizations of the Dark Energy Density and Scalar Potentials
• Reconstruction of Hessence Dark Energy and the Latest Type Ia Supernovae Gold Dataset
• Dark viscous fluid described by a unified equation of state in cosmology
• Statefinder Parameters for Five-Dimensional Cosmology
• Cosmic Acceleration from Varying Masses in Five Dimensions
• Reconstruction of 5D Cosmological Model From Recent Observations
• Correspondence Between DGP Brane Cosmology and 5D Ricci-flat Cosmology
• Dark Energy in Global Brane Universe
• Exact solutions of embedding the 4D Universe in a 5D Einstein manifold
• $5D$ Solutions to $\Lambda$CDM Universe Derived from Global Brane Model
• Thermodynamics of Apparent Horizon and Friedmann Equations in Big Bounce Universe