Power-law expansion cosmology in Schrödinger-type formulation

Abstract

We investigate non-linear Schrödinger-type formulation of cosmology of which our cosmological system is a general relativistic FRLW universe containing canonical scalar field under arbitrary potential and a barotropic fluid with arbitrary spatial curvatures. We extend the formulation to include phantom field case and we have found that Schrödinger wave function in this formulation is generally non-normalizable. Assuming power-law expansion, $a\sim t^q$, we obtain scalar field potential as function of time. The corresponding quantities in Schrödinger-type formulation such as Schrödinger total energy, Schrödinger potential and wave function are also presented.

9 pages, 5 figures, Revtex 4, accepted by Astroparticle Physics, more Ref. added

References in corpus (24)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Phantom Energy and Cosmic Doomsday
• Properties of singularities in (phantom) dark energy universe
• Quantum deSitter cosmology and phantom matter
• Gauss-Bonnet dark energy
• Cosmological Dynamics of Phantom Field
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• The State of the Dark Energy Equation of State
• The foundations of observing dark energy dynamics with the Wilkinson Microwave Anisotropy Probe
• The Fate of Bound Systems in Phantom and Quintessence Cosmologies
• The fate of (phantom) dark energy universe with string curvature corrections
• Dark energy and cosmological solutions in second-order string gravity
• Cosmological Evolution of Hessence Dark Energy and Avoidance of the Big Rip
• Attractor Solution of Phantom Field
• Dark Energy: the Cosmological Challenge of the Millennium
• Phantom Cosmic Dynamics: Tracking Attractor and Cosmic Doomsday
• The BOOMERanG experiment and the curvature of the Universe
• Phantom Field with O(N) Symmetry in Exponential Potential
• The Ermakov-Pinney Equation in Scalar Field Cosmologies
• Phantom field dynamics in loop quantum cosmology
• Testing power-law cosmology with galaxy clusters
• Type I singularities and the Phantom Menace

Cited by in corpus (5)

• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schrödinger-type formulation
• Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology
• Non-linear Schrödinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions
• Generalized EMP and nonlinear Schrodinger-type reformulations of some scalar field cosmological models