Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
| dc.creator | Rinne, Oliver | |
| dc.date | 2006-06-12 | |
| dc.date | 2006-09-06 | |
| dc.date.accessioned | 2026-07-07T10:19:51Z | |
| dc.date.available | 2026-07-07T10:19:51Z | |
| dc.description | This paper is concerned with the initial-boundary value problem for the Einstein equations in a first-order generalized harmonic formulation. We impose boundary conditions that preserve the constraints and control the incoming gravitational radiation by prescribing data for the incoming fields of the Weyl tensor. High-frequency perturbations about any given spacetime (including a shift vector with subluminal normal component) are analyzed using the Fourier-Laplace technique. We show that the system is boundary-stable. In addition, we develop a criterion that can be used to detect weak instabilities with polynomial time dependence, and we show that our system does not suffer from such instabilities. A numerical robust stability test supports our claim that the initial-boundary value problem is most likely to be well-posed even if nonzero initial and source data are included. | |
| dc.description | 27 pages, 4 figures; more numerical results and references added, several minor amendments; version accepted for publication in Class. Quantum Grav | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0606053 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0606053 | |
| dc.identifier | Class. Quantum Grav. 23, 6275-6300 (2006) | |
| dc.identifier | doi:10.1088/0264-9381/23/22/013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174661 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations | |
| dc.type | text |