3+1 formalism in general relativity :bases of numerical relativity
Heidelberg ; New York
Springer
2012
xvii, 294 p. : ill. ; 24 cm
Lecture notes in physics5700-0548 ;648
Includes bibliographical references and index
Eric Gourgoulhon
1. Introduction -- 2. Basic differential geometry -- 3. Geometry of hypersurfaces -- 4. Geometry of foliations -- 5. 3+1 decomposition of Einstein equation -- 6. 3+1 equations for matter and electromagnetic field -- 7. Conformal decomposition -- 8. Asymptotic flatness and global quantities -- 9. The initial data problem -- 01. Choice of foliation and spatial coordinates -- 11. Evolution schemes -- Appendices