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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2007
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/0709.4185 |
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| _version_ | 1866914720346275840 |
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| author | Marvan, M. Stolin, O. |
| author_facet | Marvan, M. Stolin, O. |
| contents | Considered is the problem of local equivalence of generic four-dimensional metrics possessing two commuting and orthogonally transitive Killing vector fields. A sufficient set of eight differential invariants is explicitly constructed, among them four of first order and four of second order in terms of metric coefficients. In vacuum case the four first-order invariants suffice to distinguish generic metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0709_4185 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields Marvan, M. Stolin, O. Mathematical Physics 83C20, 35Q75 Considered is the problem of local equivalence of generic four-dimensional metrics possessing two commuting and orthogonally transitive Killing vector fields. A sufficient set of eight differential invariants is explicitly constructed, among them four of first order and four of second order in terms of metric coefficients. In vacuum case the four first-order invariants suffice to distinguish generic metrics. |
| title | On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields |
| topic | Mathematical Physics 83C20, 35Q75 |
| url | https://arxiv.org/abs/0709.4185 |