Parametrization of Born-Infeld Type Phantom Dark Energy Model

TL;DR

This paper develops a parametrization approach for Born-Infeld type phantom dark energy models, analyzing their evolution and potential behavior with respect to red-shift and model parameters, highlighting differences from other dark energy models.

Contribution

It introduces a new parametrization method for Born-Infeld phantom dark energy, deriving potential functions and analyzing parameter effects on evolution.

Findings

Dark energy density evolution varies with red-shift

Potential functions depend on model parameters

Model behavior differs from other dark energy models

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 $\phi$ and $z$ are shown mathematically. Moreover, we investigate the effect of parameter $\eta$ 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.