Parametrization of Born-Infeld Type Phantom Dark Energy Model

Abstract

Applying the parametrization of dark energy density, we can construct directly independent-model potentials. In Born-Infeld type phantom dark energy model, we consider four special parametrization equation of state parameter. The evolutive behavior of dark energy density with respect to red-shift $z$, potentials with respect to $\ddot{I}•$ and $z$ are shown mathematically. Moreover, we investigate the effect of parameter $\hat{I}\cdot$ upon the evolution of the constructed potential with respect to $z$. These results show that the evolutive behavior of constructed Born-Infeld type dark energy model is quite different from those of the other models.

5 pages, 4 figures, Accepted for publication in Astrophysics & Space Science