A Comparison of Quintessence and Nonlinear Born-Infeld Scalar Field Using Gold Supernova data

Abstract

We study the Non-Linear Born-Infeld(NLBI) scalar field model and quintessence model with two different potentials($V(ϕ)=-sϕ$ and ${1/2}m^2ϕ^2$). We investigate the differences between those two models. We explore the equation of state parameter w and the evolution of scale factor $a(t)$ in both NLBI scalar field and quintessence model. The present age of universe and the transition redshift are also obtained. We use the Gold dataset of 157 SN-Ia to constrain the parameters of the two models. All the results show that NLBI model is slightly superior to quintessence model.