Harmonic synchronizations of spacetime

Mathematics – Logic

Scientific paper

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Fundamental Problems And General Formalism, Relativity And Gravitation

Scientific paper

The spacetime slicings associated with a harmonic time coordinate (harmonic synchronizations) are considered and their usefulness in the field of numerical relativity is studied. Harmonic synchronizations are shown to avoid singularities in the same way that the widely used maximal slicings do. Both kinds of slicing are compared in stationary axisymmetric spacetimes, homogeneous cosmological models, and Kerr-Newman black holes.

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