[gr-qc/0703035] Formalism and Bases of Numerical Relativity

Authors: Eric Gourgoulhon (LUTH, CNRS / Observatoire de Paris)

Date: 6 Mar 2007

Abstract: 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.

abs pdf

Sep 09, 2009

0703035 (/preprints/gr-qc)
2009-09-09, 03:29 [edit]


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