Scaling solutions and geodesics in moduli space
High Energy Physics - Theory
2009-11-11 v1 General Relativity and Quantum Cosmology
Abstract
In this paper we consider cosmological scaling solutions in general relativity coupled to scalar fields with a non-trivial moduli space metric. We discover that the scaling property of the cosmology is synonymous with the scalar fields tracing out a particular class of geodesics in moduli space - those which are constructed as integral curves of the gradient of the log of the potential. Given a generic scalar potential we explicitly construct a moduli metric that allows scaling solutions, and we show the converse - how one can construct a potential that allows scaling once the moduli metric is known.
Cite
@article{arxiv.hep-th/0604046,
title = {Scaling solutions and geodesics in moduli space},
author = {Josef L. P. Karthauser and P. M. Saffin},
journal= {arXiv preprint arXiv:hep-th/0604046},
year = {2009}
}
Comments
10 pages, 3 figures