Slicing the Schwarzschild spacetime: Harmonic versus maximal slicing

Physics

Scientific paper

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Numerical Relativity, Fundamental Problems And General Formalism

Scientific paper

Two methods of temporal slicing of spacetimes, namely, maximal and harmonic slicing, are compared by considering the Schwarzschild spacetime. It is shown that slices which extend to spatial infinity can cover the whole spacetime in the case of harmonic slicing, in contrast with maximal slicing. In addition, the behavior of the lapse function is discussed, especially for various distributions on the initial slice.

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