Scaling solutions and geodesics in moduli space
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 - th...
| Main Authors: | , |
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| Format: | Article |
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IOP Publishing
2006
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| Online Access: | https://eprints.nottingham.ac.uk/42113/ |
| _version_ | 1848796422237847552 |
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| author | Karthauser, J.P.L. Saffin, Paul M. |
| author_facet | Karthauser, J.P.L. Saffin, Paul M. |
| author_sort | Karthauser, J.P.L. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:47:44Z |
| format | Article |
| id | nottingham-42113 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:44Z |
| publishDate | 2006 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-421132020-05-04T16:26:29Z https://eprints.nottingham.ac.uk/42113/ Scaling solutions and geodesics in moduli space Karthauser, J.P.L. Saffin, Paul M. 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. IOP Publishing 2006-06-20 Article PeerReviewed 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 http://iopscience.iop.org/article/10.1088/0264-9381/23/14/004/meta doi:10.1088/0264-9381/23/14/004 doi:10.1088/0264-9381/23/14/004 |
| spellingShingle | Karthauser, J.P.L. Saffin, Paul M. Scaling solutions and geodesics in moduli space |
| title | Scaling solutions and geodesics in moduli space |
| title_full | Scaling solutions and geodesics in moduli space |
| title_fullStr | Scaling solutions and geodesics in moduli space |
| title_full_unstemmed | Scaling solutions and geodesics in moduli space |
| title_short | Scaling solutions and geodesics in moduli space |
| title_sort | scaling solutions and geodesics in moduli space |
| url | https://eprints.nottingham.ac.uk/42113/ https://eprints.nottingham.ac.uk/42113/ https://eprints.nottingham.ac.uk/42113/ |