| Автор | Burston, R B |
| Дата выпуска | 2008-04-07 |
| dc.description | This is the first in a series of papers which considers gauge-invariant and covariant gravitational perturbations on arbitrary vacuum locally rotationally symmetric (LRS) class II spacetimes. Ultimately, we derive four decoupled equations governing four specific combinations of the gravito-electromagnetic (GEM) 2-tensor harmonic amplitudes. We use the gauge-invariant and covariant 1+1+2 formalism which Clarkson and Barrett (2003 Class. Quantum Grav. 20 3855) developed for analysis of vacuum Schwarzschild perturbations. In particular we focus on the first-order 1+1+2 GEM system and use linear algebra techniques suitable for exploiting its structure. Consequently, we express the GEM system new 1+1+2 complex form by choosing new complex GEM tensors, which is conducive to decoupling. We then show how to derive a gauge-invariant and covariant decoupled equation governing a newly defined complex GEM 2-tensor. Finally, the GEM 2-tensor is expanded in terms of arbitrary tensor harmonics and linear algebra is used once again to decouple the system further into four real decoupled equations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2008 IOP Publishing Ltd |
| Название | 1+1+2 gravitational perturbations on LRS class II spacetimes: decoupling gravito-electromagnetic tensor harmonic amplitudes |
| Тип | paper |
| DOI | 10.1088/0264-9381/25/7/075004 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 25 |
| Первая страница | 75004 |
| Последняя страница | 75017 |
| Аффилиация | Burston, R B; Max Planck Institute for Solar System Research, 37191 Katlenburg-Lindau, Germany |
| Выпуск | 7 |
