Gauge fixing for the simulation of black hole spacetimes
| dc.creator | Schnetter, Erik | |
| dc.date | 2004-10-29 | |
| dc.date.accessioned | 2026-07-07T03:29:07Z | |
| dc.date.available | 2026-07-07T03:29:07Z | |
| dc.description | I consider the initial-boundary-value-problem of nonlinear general relativistic vacuum spacetimes, which today cannot yet be evolved numerically in a satisfactory manner. Specifically, I look at gauge conditions, classifying them into gauge evolution conditions and gauge fixing conditions. In this terminology, a gauge fixing condition is a condition that removes all gauge degrees of freedom from a system, whereas a gauge evolution condition determines only the time evolution of the gauge condition, while the gauge condition itself remains unspecified. I find that most of today's gauge conditions are only gauge evolution conditions. I present a system of evolution equations containing a gauge fixing condition, and describe an efficient numerical implementation using constrained evolution. I examine the numerical behaviour of this system for several test problems, such as linear gravitational waves or nonlinear gauge waves. I find that the system is robustly stable and second-order convergent. I then apply it to more realistic configurations, such as Brill waves or single black holes, where the system is also stable and accurate. | |
| dc.description | 93 pages, 82 figures; also available from TOBIAS-lib, http://w210.ub.uni-tuebingen.de/dbt/volltexte/2003/819/ | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0411002 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0411002 | |
| dc.identifier | PhD thesis, University of Tuebingen, 2003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35091 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Gauge fixing for the simulation of black hole spacetimes | |
| dc.type | text |