The cohomogeneity one Einstein equations and Painleve analysis
We apply techniques of Painlevé-Kowalewski analysis to a Hamiltonian system arising from symmetry reduction of the Ricci-flat Einstein equations. In the case of doubly warped product metrics on a product of two Einstein manifolds over an interval, we show that the cases when the total dimension is 1...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2001
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| _version_ | 1826263288094130176 |
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| author | Dancer, A Wang, M |
| author_facet | Dancer, A Wang, M |
| author_sort | Dancer, A |
| collection | OXFORD |
| description | We apply techniques of Painlevé-Kowalewski analysis to a Hamiltonian system arising from symmetry reduction of the Ricci-flat Einstein equations. In the case of doubly warped product metrics on a product of two Einstein manifolds over an interval, we show that the cases when the total dimension is 10 or 11 are singled out by our analysis. © 2001 Elsevier Science B.V. |
| first_indexed | 2024-03-06T19:49:22Z |
| format | Journal article |
| id | oxford-uuid:236e7579-3be2-4b47-822c-3629186e21b1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:49:22Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:236e7579-3be2-4b47-822c-3629186e21b12022-03-26T11:44:20ZThe cohomogeneity one Einstein equations and Painleve analysisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:236e7579-3be2-4b47-822c-3629186e21b1EnglishSymplectic Elements at Oxford2001Dancer, AWang, MWe apply techniques of Painlevé-Kowalewski analysis to a Hamiltonian system arising from symmetry reduction of the Ricci-flat Einstein equations. In the case of doubly warped product metrics on a product of two Einstein manifolds over an interval, we show that the cases when the total dimension is 10 or 11 are singled out by our analysis. © 2001 Elsevier Science B.V. |
| spellingShingle | Dancer, A Wang, M The cohomogeneity one Einstein equations and Painleve analysis |
| title | The cohomogeneity one Einstein equations and Painleve analysis |
| title_full | The cohomogeneity one Einstein equations and Painleve analysis |
| title_fullStr | The cohomogeneity one Einstein equations and Painleve analysis |
| title_full_unstemmed | The cohomogeneity one Einstein equations and Painleve analysis |
| title_short | The cohomogeneity one Einstein equations and Painleve analysis |
| title_sort | cohomogeneity one einstein equations and painleve analysis |
| work_keys_str_mv | AT dancera thecohomogeneityoneeinsteinequationsandpainleveanalysis AT wangm thecohomogeneityoneeinsteinequationsandpainleveanalysis AT dancera cohomogeneityoneeinsteinequationsandpainleveanalysis AT wangm cohomogeneityoneeinsteinequationsandpainleveanalysis |