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Partial Differential Equations in General Relativity
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Table of Contents

1: Introduction
2: General relativity
3: Matter models
4: Symmetry classes
5: Ordinary differential equations
6: Functional Analysis
7: Elliptic Equations
8: Hyperbolic Equations
9: The Cauchy problem for the Einstein equations
10: Global results
11: The Einstein-Vlasov Equation
12: The Einstein-scalar field system

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This text is written in a style accessible to both physics and mathematics students.
*Mathématique*

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