Elliptic-hyperbolic systems and the Einstein equations
| dc.creator | Andersson, Lars | |
| dc.creator | Moncrief, Vincent | |
| dc.date | 2001-10-25 | |
| dc.date | 2002-02-21 | |
| dc.date.accessioned | 2026-07-07T03:26:24Z | |
| dc.date.available | 2026-07-07T03:26:24Z | |
| dc.description | The Einstein evolution equations are studied in a gauge given by a combination of the constant mean curvature and spatial harmonic coordinate conditions. This leads to a coupled quasilinear elliptic--hyperbolic system of evolution equations. We prove that the Cauchy problem is locally strongly well--posed and that a continuation principle holds. For initial data satisfying the Einstein constraint and gauge conditions, the solutions to the elliptic-hyperbolic system defined by the gauge fixed Einstein evolution equations are shown to give vacuum spacetimes. | |
| dc.description | 29 pages, several minor corrections, submitted to Ann. H. Poincare | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0110111 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0110111 | |
| dc.identifier | Annales Henri Poincare 4 (2003) 1-34 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34030 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Analysis of PDEs | |
| dc.title | Elliptic-hyperbolic systems and the Einstein equations | |
| dc.type | text |