Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation

Abstract

We report a method of solving for canonical scalar field exact solution in a non-flat FLRW universe with barotropic fluid using non-linear Schrödinger (NLS)-type formulation in comparison to the method in the standard Friedmann framework. We consider phantom and non-phantom scalar field cases with exponential and power-law accelerating expansion. Analysis on effective equation of state to both cases of expansion is also performed. We speculate and comment on some advantage and disadvantage of using the NLS formulation in solving for the exact solution.

12 pages, GERG format, Reference added. accepted by Gen. Relativ. and Grav

References in corpus (15)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Primordial Nucleosynthesis in the Precision Cosmology Era
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Phantom field dynamics in loop quantum cosmology
• Phantom Matter and the Cosmological Constant
• Type I singularities and the Phantom Menace
• Power-law expansion cosmology in Schrödinger-type formulation
• A non-linear Schrodinger type formulation of FLRW scalar field cosmology
• A Schrodinger formulation of Bianchi I scalar field cosmology
• Coupled phantom field in loop quantum cosmology