Scaling solutions and geodesics in moduli spaceTools Karthauser, J.P.L. and Saffin, Paul M. (2006) Scaling solutions and geodesics in moduli space. Classical and Quantum Gravity, 23 (14). p. 4615. ISSN 1361-6382 Full text not available from this repository.AbstractIn 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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