Abstract
We examine dark-energy models in which a quintessence or a phantom field, , rolls near the vicinity of a local minimum or maximum, respectively, of its potential . Under the approximation that , [although can be large], we derive a general expression for the equation-of-state parameter as a function of the scale factor for these models. The dynamics of the field depends on the value of near the extremum, which describes the potential curvature. For quintessence models, when at the potential minimum, the equation-of-state parameter evolves monotonically, while for , has oscillatory behavior. For phantom fields, the dividing line between these two types of behavior is at . Our analytical expressions agree within 1% with the exact (numerically derived) behavior, for all of the particular cases examined, for both quintessence and phantom fields. We present observational constraints on these models.
3 More- Received 19 March 2009
DOI:https://doi.org/10.1103/PhysRevD.79.103005
©2009 American Physical Society