Dark Energy from a Phantom Field Near a Local Potential Minimum

Details Dark Energy from a Phantom Field Near a Local Potential Minimum Dark Energy from a Phantom Field Near a Local Potential Minimum

2009-02-06

arxiv.org/abs/0902.1004v3

Phys.Lett.B676:12-15,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

v3: Discussion modified in accordance with referee comments. References added. Results and Conclusions unchanged. v2: Minor ty

Scientific paper

10.1016/j.physl=

We examine dark energy models in which a phantom field $\phi$ is rolling near a local minimum of its potential $V(\phi)$.We require that $(1/V)(dV/d\phi) \ll 1$, but $(1/V)(d^2 V/d\phi^2)$ can be large. Using techniques developed in the context of hilltop quintessence, we derive a general expression for $w$ as a function of the scale factor, and as in the hilltop case, we find that the dynamics of the field depend on the value of $(1/V)(d^2 V/d\phi^2)$ near the mimimum. Our general result gives a value for $w$ that is within 1% of the true (numerically-derived) value for all of the particular cases examined. Our expression for $w(a)$ reduces to the previously-derived phantom slow-roll result of Sen and Scherrer in the limit where the potential is flat, $(1/V)(dV/d\phi) \ll 1$.

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