Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology

Abstract

We describe non-flat standard Friedmann cosmology of canonical scalar field with barotropic fluid in form of non-linear Schrödinger-type (NLS) formulation in which all cosmological dynamical quantities are expressed in term of Schrödinger quantities as similar to those in time-independent quantum mechanics. We assume the expansion to be superfast, i.e. phantom expansion. We report all Schrödinger-analogous quantities to scalar field cosmology. Effective equation of state coefficient is analyzed and illustrated. We show that in a non-flat universe, there is no fixed $w_{\mathrm{eff}}$ value for the phantom divide. In a non-flat universe, even $w_{\mathrm{eff}}>-1$, the expansion can be phantom. Moreover, in open universe, phantom expansion can happen even with $w_{\mathrm{eff}}>0$. We also report scalar field exact solutions within frameworks of the Friedmann formulation and the NLS formulation in non-flat universe cases.

[11 pages, 8 figures] Some parts of this work was presented as an oral presentation by Theerakarn Phetnora at the SIAM Physics Congress 2008, Kao Yai, Thailand (20-22 March 2008), accepted by Gen. Rel. Grav

References in corpus (18)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Primordial Nucleosynthesis in the Precision Cosmology Era
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Dark Energy: Mystery of the Millennium
• Constraints on Dark Energy from Supernovae, Gamma Ray Bursts, Acoustic Oscillations, Nucleosynthesis and Large Scale Structure and the Hubble constant
• Phantom field dynamics in loop quantum cosmology
• Type I singularities and the Phantom Menace
• Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation
• Power-law expansion cosmology in Schrödinger-type formulation
• Slow-roll, acceleration, the Big Rip and WKB approximation in NLS-type formulation of scalar field cosmology

Cited by in corpus (2)

• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Non-linear Schrödinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions