Abstract
1 Introduction
1.1 Background and History
1.2 Main Subject and ...
2 The Theory of Linear Constant Coefficients Evolution Equationsand Generalizations to Quasi-linear Systems.
2.1 Existence and Uniqueness ...
2.2 First Order Systems.
2.3 Generalization to Variable ...
2.4 Hyperbolicity and Numerical ...
3 The Problem of Hyperbolicity in General Relativity
3.1 The Standard Approach, ...
3.2 The Modification of ...
4 Recent Approaches to the Problem.
4.1 The ADM representation.
4.2 The Frame Representation.
4.3 Ashtekar's Representation.
5 Beyond the Prescribed Gauge.
5.1 Trial and Error ...
5.2 Hyperbolic Extensions.
5.3 Elliptic Extensions.
6 The Role of the Constraints
6.1 The Constraints in ...
6.2 The Constraints in ...
6.3 The Constraints in ...
6.4 The Constraints in ...
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