Mirror symmetry and conformal flatness in general Relativity
Using symmetry arguments only, we show that every spacetime with mirror-symmetric spatial sections is necessarily conformally flat. The general form of the Ricci tensor of such spacetimes is also determined.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204309038 |
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| _version_ | 1832546554691452928 |
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| author | P. Gravel C. Gauthier |
| author_facet | P. Gravel C. Gauthier |
| author_sort | P. Gravel |
| collection | DOAJ |
| description | Using symmetry arguments only, we show that every spacetime with mirror-symmetric spatial sections is necessarily conformally flat. The general form of the Ricci tensor of such spacetimes is also determined. |
| format | Article |
| id | doaj-art-be4fa3afbd2b4719b7d9934f029c45fb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-be4fa3afbd2b4719b7d9934f029c45fb2025-02-03T06:48:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004412205220810.1155/S0161171204309038Mirror symmetry and conformal flatness in general RelativityP. Gravel0C. Gauthier1Département de Mathématiques et d'Informatique, Collège Militaire Royal du Canada, Kingston K7K 5L0, ON, CanadaDépartement de Mathématiques et de Statistique, Université de Moncton, Moncton E1A 3E9, NB, CanadaUsing symmetry arguments only, we show that every spacetime with mirror-symmetric spatial sections is necessarily conformally flat. The general form of the Ricci tensor of such spacetimes is also determined.http://dx.doi.org/10.1155/S0161171204309038 |
| spellingShingle | P. Gravel C. Gauthier Mirror symmetry and conformal flatness in general Relativity International Journal of Mathematics and Mathematical Sciences |
| title | Mirror symmetry and conformal flatness in general Relativity |
| title_full | Mirror symmetry and conformal flatness in general Relativity |
| title_fullStr | Mirror symmetry and conformal flatness in general Relativity |
| title_full_unstemmed | Mirror symmetry and conformal flatness in general Relativity |
| title_short | Mirror symmetry and conformal flatness in general Relativity |
| title_sort | mirror symmetry and conformal flatness in general relativity |
| url | http://dx.doi.org/10.1155/S0161171204309038 |
| work_keys_str_mv | AT pgravel mirrorsymmetryandconformalflatnessingeneralrelativity AT cgauthier mirrorsymmetryandconformalflatnessingeneralrelativity |