| Автор | Jörg Frauendiener |
| Дата выпуска | 1997-12-01 |
| dc.description | We derive a general integral formula on an embedded hypersurface for general relativistic spacetimes. Suppose the hypersurface is foliated by two-dimensional compact `sections' . Then the formula relates the rate of change of the divergence of outgoing light rays integrated over under change of section to geometric (convexity and curvature) properties of and the energy-momentum content of the spacetime. We derive this formula using the Sparling - Nester - Witten identity for spinor fields on the hypersurface by appropriate choice of the spinor fields. We discuss several special cases which have been discussed in the literature before, most notably the Bondi mass loss formula. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On an integral formula on hypersurfaces in general relativity |
| Тип | paper |
| DOI | 10.1088/0264-9381/14/12/023 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 14 |
| Первая страница | 3413 |
| Последняя страница | 3423 |
| Аффилиация | Jörg Frauendiener; Institut für Theoretische Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany |
| Выпуск | 12 |
