MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES
The authors relate the Hitchin correspondence (1982) between minitwistor spaces and Einstein-Weyl spaces to the Penrose correspondence between twistor spaces and spacetimes with anti-self-dual Weyl tensor. They show explicitly how to obtain an Einstein-Weyl space from such a spacetime with a conform...
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| Format: | Journal article |
| Language: | English |
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1985
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| _version_ | 1826293661529276416 |
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| author | Jones, P Tod, K |
| author_facet | Jones, P Tod, K |
| author_sort | Jones, P |
| collection | OXFORD |
| description | The authors relate the Hitchin correspondence (1982) between minitwistor spaces and Einstein-Weyl spaces to the Penrose correspondence between twistor spaces and spacetimes with anti-self-dual Weyl tensor. They show explicitly how to obtain an Einstein-Weyl space from such a spacetime with a conformal Killing vector and provide some examples. They also relate the converse problem to the solution of a generalised monopole equation. |
| first_indexed | 2024-03-07T03:33:35Z |
| format | Journal article |
| id | oxford-uuid:bb8a19b7-1464-4eae-a4de-f581d39fa56b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:33:35Z |
| publishDate | 1985 |
| record_format | dspace |
| spelling | oxford-uuid:bb8a19b7-1464-4eae-a4de-f581d39fa56b2022-03-27T05:17:48ZMINITWISTOR SPACES AND EINSTEIN-WEYL SPACESJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bb8a19b7-1464-4eae-a4de-f581d39fa56bEnglishSymplectic Elements at Oxford1985Jones, PTod, KThe authors relate the Hitchin correspondence (1982) between minitwistor spaces and Einstein-Weyl spaces to the Penrose correspondence between twistor spaces and spacetimes with anti-self-dual Weyl tensor. They show explicitly how to obtain an Einstein-Weyl space from such a spacetime with a conformal Killing vector and provide some examples. They also relate the converse problem to the solution of a generalised monopole equation. |
| spellingShingle | Jones, P Tod, K MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES |
| title | MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES |
| title_full | MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES |
| title_fullStr | MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES |
| title_full_unstemmed | MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES |
| title_short | MINITWISTOR SPACES AND EINSTEIN-WEYL SPACES |
| title_sort | minitwistor spaces and einstein weyl spaces |
| work_keys_str_mv | AT jonesp minitwistorspacesandeinsteinweylspaces AT todk minitwistorspacesandeinsteinweylspaces |