Abstract
This paper studies phantom linear scalar field (LSF) and phantom non-linear Born-Infeld (NLBI) scalar field with square potential of the form V (ϕ) = \( \tfrac{1} {2} \)m2ϕ2. The equation of state parameter ω(z), and evolution of scale factor a(t) in both phantom LSF and phantom NLBI scalar model are explored. The age of universe H0t and the transition redshift Z are obtained. The Gold data set of 157-SN-Ia is used to constrain parameters of the two models by numerical calculation. The phantom LSF is slightly better than the phantom NLBI type scalar field model for a large m. Although a smaller m corresponding to a slower rolling of field \( \dot \varphi \) better fits the observation data, the difference between phantom NLBI scalar field and phantom LSF is not distinct in this case.
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