Born-Infeld Type Phantom Model in the $\omega -{\omega }^{\prime }$ Plane

Abstract

In this paper, we investigate the dynamics of Born-Infeld(B-I) phantom model in the $\omega -{\omega }^{\prime }$ 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 $\omega -{\omega }^{\prime }$ plane, and show mathematically the property of attractor solutions which correspond to ${\omega }_{\varphi }\sim -1$, ${\Omega }_{\varphi }=1$, which avoid the "Big rip" problem and meets the current observations well.

6 pages, 3 figures, some references added

References in corpus (6)

• Cosmological Evolution of a Quintom Model of Dark Energy
• The holographic dark energy in non-flat Brans-Dicke cosmology
• Interacting holographic dark energy model in non-flat universe
• Bulk-Brane Interaction and Holographic Dark Energy
• The Evolution of Universe with th B-I Type Phantom Scalar Field
• Quantum Cosmology and Dark Energy Model of Born-Infeld Type Scalar Field

Cited by in corpus (4)

• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Statefinder Diagnostic for Dilaton Dark Energy
• 3-loop Yang-Mills Condensate Dark Energy Model And Its Cosmological Constraints