Phys. Rev. Lett. 75, 600–603 (1995)New Formalism for Numerical RelativityReceived 21 December 1994; revised 7 June 1995; published in the issue dated 24 July 1995 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, without overly restricting the time slicing, for the first time. The full set of characteristic fields and speeds is explicitly given. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.600
DOI:
10.1103/PhysRevLett.75.600
PACS:
04.25.Dm
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