3+1 Formalism and Bases of Numerical Relativity
| dc.creator | Gourgoulhon, Eric | |
| dc.date | 2007-03-06 | |
| dc.date.accessioned | 2026-07-07T07:50:23Z | |
| dc.date.available | 2026-07-07T07:50:23Z | |
| dc.description | These lecture notes provide some introduction to the 3+1 formalism of general relativity, which is the foundation of most modern numerical relativity. The text is rather self-contained, with detailed calculations and numerous examples. Contents: 1. Introduction, 2. Geometry of hypersurfaces, 3. Geometry of foliations, 4. 3+1 decomposition of Einstein equation, 5. 3+1 equations for matter and electromagnetic field, 6. Conformal decomposition, 7. Asymptotic flatness and global quantities, 8. The initial data problem, 9. Choice of foliation and spatial coordinates, 10. Evolution schemes. | |
| dc.description | Lectures given at the General Relativity Trimester held in the Institut Henri Poincare (Paris, Sept.-Dec. 2006) and at the VII Mexican School on Gravitation and Mathematical Physics (Playa del Carmen, Mexico, 26. Nov. - 2 Dec. 2006), 220 pages, 25 figures. Corrections and suggestions are welcome | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0703035 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0703035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125144 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | Differential Geometry | |
| dc.title | 3+1 Formalism and Bases of Numerical Relativity | |
| dc.type | text |