| Автор | Carsten Gundlach |
| Автор | Paul Walker |
| Дата выпуска | 1999-03-01 |
| dc.description | We give a general scheme for finite-differencing partial differential equations in flux-conservative form to second order, with a stencil that can be arbitrarily tilted with respect to the numerical grid, parametrized by a `tilt' vector field . This can be used to centre the numerical stencil on the physical lightcone, by setting , where is the usual shift vector in the 3 + 1 split of spacetime, but other choices of the tilt may also be useful. We apply this `causal differencing' algorithm to the Bona-Massó equations, a hyperbolic and flux-conservative form of the Einstein equations, and demonstrate long-term stable causally correct evolutions of single black hole systems in spherical symmetry. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Causal differencing of flux-conservative equations applied to black hole spacetimes |
| Тип | paper |
| DOI | 10.1088/0264-9381/16/3/026 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 16 |
| Первая страница | 991 |
| Последняя страница | 1010 |
| Аффилиация | Carsten Gundlach; Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Schlaatzweg 1, 14473 Potsdam, Germany |
| Аффилиация | Paul Walker; Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Schlaatzweg 1, 14473 Potsdam, Germany |
| Выпуск | 3 |
