Power-law expansion cosmology in Schrödinger-type formulation

Details Power-law expansion cosmology in Schrödinger-type formulation Power-law expansion cosmology in Schrödinger-type formulation

2007-08-27

arxiv.org/abs/0708.3674v4

Astropart.Phys.30:186-191,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1016/j.astropartphys.2008.09.

We investigate non-linear Schr\"{o}dinger-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 Schr\"{o}dinger 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 Schr\"{o}dinger-type formulation such as Schr\"{o}dinger total energy, Schr\"{o}dinger potential and wave function are also presented.

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