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New Formalism for Numerical Relativity

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arxiv gr-qc/9412071 v2 pith:JA73FD67 submitted 1994-12-22 gr-qc

Carles Bona , Joan Masso , Edward Seidel , Joan Stela This is my paper · ORCID
classification gr-qc
keywords equationsnumericalslicingtimeeinsteinexplicitlyfirstrelativity
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We present a new formulation of the Einstein equations that casts them in an explicitly first order, flux-conservative, hyperbolic form. We show that this now can be done for a wide class of time slicing conditions, including maximal slicing, making it potentially very useful for numerical relativity. This development permits the application to the Einstein equations of advanced numerical methods developed to solve the fluid dynamic equations, {\em without} overly restricting the time slicing, for the first time. The full set of characteristic fields and speeds is explicitly given.

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Cited by 11 Pith papers

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