Scaling solutions and geodesics in moduli space

Karthauser, J.P.L.; Saffin, Paul M.

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.

Citation

Karthauser, J., & Saffin, P. M. (2006). Scaling solutions and geodesics in moduli space. Classical and Quantum Gravity, 23(14), https://doi.org/10.1088/0264-9381/23/14/004

• Journal Article Type: Article
• Acceptance Date: Jun 1, 2006
• Publication Date: Jun 20, 2006
• Deposit Date: Apr 21, 2017
• Publicly Available Date: Apr 21, 2017
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 23
• Issue: 14
• DOI: https://doi.org/10.1088/0264-9381/23/14/004
• Public URL: https://nottingham-repository.worktribe.com/output/703709
• Publisher URL: http://iopscience.iop.org/article/10.1088/0264-9381/23/14/004/meta
• Contract Date: Apr 21, 2017