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 (2)

• Phantom field dynamics in loop quantum cosmology
• Type I singularities and the Phantom Menace

Cited by in corpus (1)

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