Effective cosmological constant and quintessence

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Abstract
In this paper we present exactly solved models in the context of nonminimally coupled quintessence theories; we show how potentials such as the inverse power law and the square hyperbolic sine are selected through the method of solution we use: we impose the existence of a Noether symmetry in the cosmological Lagrangian. The exact solutions we obtain relative to the power-law potential present a tracker behavior and, furthermore, through the definition of a dynamical effective Q-cosmological constant, we naturally obtain a scaling Λ decay.
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