New Formalism for Numerical Relativity

Details New Formalism for Numerical Relativity New Formalism for Numerical Relativity

1994-12-22

arxiv.org/abs/gr-qc/9412071v2

Phys.Rev.Lett. 75 (1995) 600-603

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

uucompresed PS file. 4 pages including 1 figure. Revised version adds a figure showing a comparison between the standard ADM a

Scientific paper

10.1103/PhysRevLett.75.600

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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