Born-Infeld Type Phantom Model in the $\omega-\omega'$ Plane

TL;DR

This paper explores a Born-Infeld phantom dark energy model in the $\,\omega-\omega'$ plane, demonstrating attractor solutions that align with observations and avoid the Big Rip scenario.

Contribution

It introduces a detailed analysis of the Born-Infeld phantom model's dynamics in the $\,\omega-\omega'$ plane, highlighting attractor solutions that match current observational data.

Findings

Identifies attractor solutions with $\,\omega_\phi \sim -1$ and $\,\Omega_\phi=1$

Shows these solutions avoid the Big Rip problem

Aligns model predictions with current observations

Abstract

In this paper, we investigate the dynamics of Born-Infeld(B-I) phantom model in the $\omega-\omega'$ plane, which is defined by the equation of state parameter for the dark energy and its derivative with respect to $N$(the logarithm of the scale factor $a$). We find the scalar field equation of motion in $\omega-\omega'$ plane, and show mathematically the property of attractor solutions which correspond to $\omega_\phi\sim-1$, $\Omega_\phi=1$, which avoid the "Big rip" problem and meets the current observations well.