Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schr\"odinger-type formulation
General Relativity and Quantum Cosmology
2009-02-18 v4 Astrophysics
High Energy Physics - Theory
Quantum Physics
Abstract
We report a method of solving for canonical scalar field exact solution in a non-flat FLRW universe with barotropic fluid using non-linear Schr\"{o}dinger (NLS)-type formulation in comparison to the method in the standard Friedmann framework. We consider phantom and non-phantom scalar field cases with exponential and power-law accelerating expansion. Analysis on effective equation of state to both cases of expansion is also performed. We speculate and comment on some advantage and disadvantage of using the NLS formulation in solving for the exact solution.
Keywords
Cite
@article{arxiv.0710.3598,
title = {Scalar field exact solutions for non-flat FLRW cosmology: A technique from non-linear Schr\"odinger-type formulation},
author = {Burin Gumjudpai},
journal= {arXiv preprint arXiv:0710.3598},
year = {2009}
}
Comments
12 pages, GERG format, Reference added. accepted by Gen. Relativ. and Grav