On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations
| dc.creator | Beyer, Horst | |
| dc.creator | Sarbach, Olivier | |
| dc.date | 2004-06-01 | |
| dc.date.accessioned | 2026-07-07T12:27:42Z | |
| dc.date.available | 2026-07-07T12:27:42Z | |
| dc.description | We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Einstein's equations with gauge conditions given by a Bona-Masso like slicing condition for the lapse and a frozen shift. This is achieved by introducing extra variables and recasting the evolution equations into a first order symmetric hyperbolic system. We also consider the presence of artificial boundaries and derive a set of boundary conditions that guarantee that the resulting initial-boundary value problem is well posed, though not necessarily compatible with the constraints. In the case of dynamical gauge conditions for the lapse and shift we obtain a class of evolution equations which are strongly hyperbolic and so yield well posed initial value formulations. | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0406003 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0406003 | |
| dc.identifier | Phys.Rev.D70:104004,2004 | |
| dc.identifier | doi:10.1103/PhysRevD.70.104004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215292 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations | |
| dc.type | text |