@article { , title = {Scaling solutions and geodesics in moduli space}, 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.}, doi = {10.1088/0264-9381/23/14/004}, eissn = {1361-6382}, issn = {0264-9381}, issue = {14}, journal = {Classical and Quantum Gravity}, note = {Estimated date of acceptance.}, publicationstatus = {Published}, publisher = {IOP Publishing}, url = {https://nottingham-repository.worktribe.com/output/703709}, volume = {23}, year = {2006}, author = {Karthauser, J.P.L. and Saffin, Paul M.} }