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3+1 Formalism in General Relativity [2012]
- 1
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Introduction
- 2
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Basic Differential Geometry
- 3
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Geometry of Hypersurfaces
- 4
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Geometry of Foliations
- 5
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3+1 Decomposition of Einstein Equation
- 6
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3+1 Equations for Matterand Electromagnetic Field
- 7
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Conformal Decomposition
- 8
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Asymptotic Flatness and Global Quantities
- 9
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The Initial Data Problem
- 10
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Choice of Foliation and Spatial Coordinates
- 11
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Evolution Schemes