Classification of Cosmological Trajectories
General Relativity and Quantum Cosmology
2007-05-23 v2
Abstract
In the context of effective Friedmann equation we classify the cosmologies in multi-scalar models with an arbitrary scalar potential according to their geometric properties. It is shown that all flat cosmologies are geodesics with respect to a conformally rescaled metric on the `augmented' target space. Non-flat cosmologies with V=0 are also investigated. It is shown that geodesics in a `doubly-augmented' target space yield cosmological trajectories for any curvature when projected onto a given hypersurface.
Cite
@article{arxiv.gr-qc/0504033,
title = {Classification of Cosmological Trajectories},
author = {Qi Guo and Rong-Gen Cai},
journal= {arXiv preprint arXiv:gr-qc/0504033},
year = {2007}
}
Comments
10 pages