Tracker fields from nonminimally coupled theory

Abstract

We extend the concept of quintessence to a flat nonminimally coupled scalar - tensor theories of gravity. By means of Noether's symmetries for the cosmological pointlike Lagrangian L, it is possible to exhibit exact solutions for a class of models depending on a free parameter s. This parameter comes out in the relationship existing between the coupling F(ϕ) and the potential V(ϕ) because of such a symmetry for L. When inverse power law potentials are taken in account, a whole family of exact solutions parametrized by such an s is proposed as a class of tracker fields, and some considerations are made about them.

17 pages, submitted to Physical Review D

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• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
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