Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-12-29
Mod.Phys.Lett.A25:859-873,2010
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 11 pages, references are added, to appear in Proceedings of International Workshop on Dark Matter, Dark Energy and Matte
Scientific paper
10.1142/S0217732310000022
We review how we can construct the gravity models which reproduces the arbitrary development of the universe. We consider the reconstruction in the Einstein gravity coupled with generalized perfect fluid, scalar-Einstein gravity, scalar-Einstein-Gauss-Bonnet gravity, Einstein-$F(G)$-gravity, and $F(R)$-gravity. Very explicit formulas are given to reconstruct the models, which could be used when we find the detailed data of the development of the universe by future observations. Especially we find the formulas using e-foldings, which has a direct relation with observed redshift. As long as we observe the time development of the Hubble rate $H$, there exists a variety of models describing the arbitrary development of universe.
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