Abstract

Using a new method called the statefinder diagnostics which can make one dark energy model differ from the others, we investigate the dynamics of Born–Infeld (B-I) type dark energy model. The evolution trajectory of B-I type dark energy with Mexican hat potential model with respect to e-folding time N is shown in the r(s) diagram. When the parameter of noncanonical kinetic energy term η → 0 or kinetic energy ϕ2 → 0, the B-I type dark energy (K-essence) model reduces to the quintessence model or the ΛCDM model corresponding to the statefinder pair {r,s} = {1,0} respectively. As a result, the evolution trajectory of our model in the r(s) diagram in Mexican hat potential is quite different from those of other dark energy models. The current values of parameters Ωϕ and ωϕ in this model meet the latest observations WMAP5 well.

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