# Inverse problem - reconstruction of dark energy models - High Energy Physics - Theory

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Abstract: We review how we can construct the gravity models which reproduces thearbitrary development of the universe. We consider the reconstruction in theEinstein gravity coupled with generalized perfect fluid, scalar-Einsteingravity, scalar-Einstein-Gauss-Bonnet gravity, Einstein-$FG$-gravity, and$FR$-gravity. Very explicit formulas are given to reconstruct the models,which could be used when we find the detailed data of the development of theuniverse by future observations. Especially we find the formulas usinge-foldings, which has a direct relation with observed redshift. As long as weobserve the time development of the Hubble rate $H$, there exists a variety ofmodels describing the arbitrary development of universe.

Author: ** Shin'ichi Nojiri**

Source: https://arxiv.org/