Hyperbolic evolution system for numerical relativity

Physics

Scientific paper

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71

Fundamental Problems And General Formalism

Scientific paper

Einstein evolution equations are written as a hyperbolic system of balance laws. A harmonic time coordinate is used with zero shift vector (harmonic slicing). The principal part of the evolution system reduces to a set of uncoupled wave equations in first order form. The relevance for three-dimensional numerical relativity of both the harmonic slicing and the resulting evolution system is stressed.

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