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3+1 Formalism in General Relativity [2012]

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 Matterand Electromagnetic Field
7
Conformal Decomposition
8
Asymptotic Flatness and Global Quantities
9
The Initial Data Problem
10
Choice of Foliation and Spatial Coordinates
11
Evolution Schemes
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