Statefinder Diagnostic for Phantom Model with $V(\phi)=V_{0}\exp(-\lambda{\phi}^2)$

Abstract

We investigate the phantom field with potential $V(\phi)=V_{0}\exp(-\lambda{\phi}^2)$ and dark matter in the spatially flat FRW model. It has been shown by numerical calculation that there is a attractor solution in this model. We also apply the statefinder diagnostic to this phantom model. It is shown that the evolving trajectories of this scenario in the $s-r$ diagram is quite different form other dark energy models.