| Автор | M Rooman |
| Автор | Ph Spindel |
| Дата выпуска | 1998-10-01 |
| dc.description | We show that the non-flat factor of the Gödel metric belongs to a one-parameter family of (2 + 1)-dimensional geometries that also includes the anti-de Sitter metric. The elements of this family allow a generalization à la Kaluza-Klein of the usual (3 + 1)-dimensional Gödel metric. Their lightcones can be viewed as deformations of the anti-de Sitter ones, involving tilting and squashing. This provides a simple geometric picture of the causal structure of these spacetimes, anti-de Sitter geometry appearing as the boundary between causally safe and causally pathological spaces. Furthermore, we construct a global algebraic isometric embedding of these metrics in (4 + 3)- or (3 + 4)-dimensional flat spaces, thereby illustrating in another way the occurrence of the closed timelike curves. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Gödel metric as a squashed anti-de Sitter geometry |
| Тип | paper |
| DOI | 10.1088/0264-9381/15/10/024 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 15 |
| Первая страница | 3241 |
| Последняя страница | 3249 |
| Выпуск | 10 |
