Geometrical diagnostic for purely kinetic k-essence dark energy

Details Geometrical diagnostic for purely kinetic k-essence dark energy Geometrical diagnostic for purely kinetic k-essence dark energy

2010-03-14

arxiv.org/abs/1003.2786v2

Phys.Lett.B687:99-102,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 4 figures, to appear in PLB, minimal errors are corrected

Scientific paper

10.1016/j.physletb.2010.03.047

Geometrical diagnostic, involving the statefinder $\{r,s\}$ and $Om(x)$, is widely used to discriminate different dark energy models. We apply the statefinder $\{r,s\}$ and $Om(x)$ to purely kinetic k-essence dark energy model with Dirac-Born-Infeld-like Lagrangian which can be considered as scalar field realizations of Chaplygin gas. We plot the evolution trajectories of this model in the statefinder parameter-planes and $Om(x)$ parameter-plane. We find that the statefinder $\{r,s\}$ and $Om(x)$ fail to distinguish purely kinetic k-essence model from $\Lambda$CDM model at 68.3% confidence level for $z\ll 1$.

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