Cosmology in Nonlinear Born-Infeld Scalar Field Theory With Negative Potentials

TL;DR

This paper explores the cosmological evolution of a nonlinear Born-Infeld scalar field with negative potentials, highlighting differences from linear scalar fields and deriving bounds on potential parameters to match current accelerated expansion.

Contribution

It provides new solutions for NLBI scalar field cosmology with negative potentials and compares their behavior to linear scalar fields, revealing unique matter-like behavior near singularities.

Findings

NLBI scalar field behaves as ordinary matter near singularity

Linear scalar field behaves as stiff matter near singularity

Potential parameters have upper bounds to match observed acceleration

Abstract

The cosmological evolution in Nonlinear Born-Infeld(hereafter NLBI) scalar field theory with negative potentials was investigated. The cosmological solutions in some important evolutive epoches were obtained. The different evolutional behaviors between NLBI and linear(canonical) scalar field theory have been presented. A notable characteristic is that NLBI scalar field behaves as ordinary matter nearly the singularity while the linear scalar field behaves as "stiff" matter. We find that in order to accommodate current observational accelerating expanding universe the value of potential parameters $|m|$ and $|V_0|$ must have an {\it upper bound}. We compare different cosmological evolutions for different potential parameters $m, V_0$.