Scaling solutions and geodesics in moduli space

Details Scaling solutions and geodesics in moduli space Scaling solutions and geodesics in moduli space

2006-04-06

arxiv.org/abs/hep-th/0604046v1

Class.Quant.Grav.23:4615-4624,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 3 figures

Scientific paper

10.1088/0264-9381/23/14/004

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.

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