Born-Infeld-type phantom on the brane world

TL;DR

This paper investigates the dynamics of Born-Infeld-type phantom fields in a brane-world cosmology, revealing attractor solutions and the absence of a big rip, with exact solutions provided in certain limits.

Contribution

It introduces a detailed analysis of Born-Infeld phantom fields on the brane, including exact solutions and conditions avoiding the big rip scenario.

Findings

Existence of attractor solutions for potentials with a maximum.

No big rip occurs during brane evolution.

Exact solutions obtained in the weak tension limit.

Abstract

We study the evolution of Born-Infeld-type phantom in the second Randall-Sundrum brane scenario, and find that there exists attractor solution for the potential with a maximum, which implies a cosmological constant at the late time. Especially, we discuss the BI model of constant potential without and with dust matter. In the weak tension limit of the brane, we obtain an exact solution for the BI phantom and scale factor and show that there is no big rip during the evolution of the brane.