Non-Minimal Quintessence With Nearly Flat Potential

Abstract

We consider Brans-Dicke type nonminimally coupled scalar field as a candidate for dark energy. In the conformally transformed Einstein's frame, our model is similar to {\it coupled quintessence} model. In such models, we consider potentials for the scalar field which satisfy the slow-roll conditions: $[(1/V)(dV/d\varphi ){]}^2<<1$ and $(1/V)(d^{2}V/d{\varphi }^2)<<1$. For such potentials, we show that the equation of state for the scalar field can be described by a universal behaviour, provided the scalar field rolls only in the flat part of the potentials where the slow-roll conditions are satisfied. Our work generalizes the previous work by Scherrer and Sen \cite{scherrer} for minimally coupled scalar field case. We have also studied the observational constraints on the model parameters considering the Supernova and BAO observational data.

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• Prospects of probing quintessence with HI 21-cm intensity mapping survey
• Holographic field theory models of dark energy in interaction with dark matter
• Quintessence and tachyon dark energy in interaction with dark matter: Observational constraints and model selection