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arXiv · hep-th/0604046

Scaling solutions and geodesics in moduli space

Josef L. P. Karthauser·P. M. Saffin
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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.

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Josef L. P. Karthauser, P. M. Saffin. 2006-04-06. Scaling solutions and geodesics in moduli space. https://doi.org/10.1088/0264-9381%2F23%2F14%2F004

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