On the way from matter-dominated era to dark energy universe
Shin'ichi Nojiri, Sergei D. Odintsov, Hrvoje Stefancic

TL;DR
This paper develops a unified scalar-tensor framework to describe the transition from matter dominance to dark energy-driven acceleration, consistent with observational data, and explores implications for galaxy rotation curves.
Contribution
It provides a general reconstruction method for scalar-tensor theories that unify matter and dark energy epochs, including explicit potentials and models with observational consistency.
Findings
Explicit scalar potentials for matter-dark energy transition
Models where dark energy dominance follows matter dominance
Modified Newtonian potential explaining galaxy rotation curves
Abstract
We develop the general program of the unification of matter-dominated era with acceleration epoch for scalar-tensor theory or dark fluid. The general reconstruction of single scalar-tensor theory is fulfilled. The explicit form of scalar potential for which the theory admits matter-dominated era, transition to acceleration and (asymptotically deSitter) acceleration epoch consistent with WMAP data is found. The interrelation of the epochs of deceleration-acceleration transition and matter dominance-dark energy transition for dark fluids with general EOS is investigated. We give several examples of such models with explicit EOS (using redshift parametrization) where matter-dark energy domination transition may precede the deceleration-acceleration transition. As some by-product, the reconstruction scheme is applied to scalar-tensor theory to define the scalar potentials which may produce…
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