| Автор | A A Coley |
| Автор | B O J Tupper |
| Дата выпуска | 1990-11-01 |
| dc.description | A proper conformal Killing vector (CKV) in a fluid spacetime will be defined to be inheriting if fluid flow lines are mapped conformally by the CKV. The consequences of this definition are considered. In particular, a general class of spacetimes called synchronous spacetimes are investigated and it is proved that orthogonal synchronous perfect fluid spacetimes, other than Friedmann-Robertson-Walker spacetimes, admit no proper inheriting CKV. Generalizations of this result to non-comoving perfect fluid and comoving but non-perfect fluid synchronous spacetimes are then considered. Proper CKV spacetimes, and especially inheriting CKV spacetimes, are very rare, and a determination of all such spacetimes is of interest. In particular, it is conjectured that a non-existence result of the above form may be valid when generalized to spacetimes other than synchronous spacetimes (at least in the perfect fluid case). |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Spacetimes admitting inheriting conformal Killing vector fields |
| Тип | paper |
| DOI | 10.1088/0264-9381/7/11/009 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 7 |
| Первая страница | 1961 |
| Последняя страница | 1981 |
| Аффилиация | A A Coley; Dept. of Math. Stat. & Comput. Sci., Dalhousie Univ., Halifax, Canada |
| Аффилиация | B O J Tupper; Dept. of Math. Stat. & Comput. Sci., Dalhousie Univ., Halifax, Canada |
| Выпуск | 11 |
