3+1 Formalism in General Relativity Bases of Numerical Relativity
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliatio...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2012, 2012
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| Edition: | 1st ed. 2012 |
| Series: | Lecture Notes in Physics
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| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Basic Differential Geometry
- Geometry of Hypersurfaces
- Geometry of Foliations
- 3+1 decomposition of Einstein Equation
- 3+1 Equations for Matter and Electromagnetic Field
- Conformal Decompositon
- Asymptotic Flatness and Global Quantities
- The Initial Data Problem
- Choice of Foliation and Spatial Coordiinates
- Evolution Schemes
- Conformal Killing Operator and Conformal Vector Laplacian
- Sage Codes