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arXiv · 0708.3674

Power-law expansion cosmology in Schrödinger-type formulation

Burin Gumjudpai
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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.

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BibTeXRIS

Burin Gumjudpai. 2008-09-08. Power-law expansion cosmology in Schrödinger-type formulation. https://doi.org/10.1016/j.astropartphys.2008.09.006

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