Phys. Rev. Lett. 82, 4384–4387 (1999)Fixing Einstein's EquationsReceived 18 February 1999; published in the issue dated 31 May 1999 Einstein's equations are not a well-posed system of evolution equations for the spatial metric, except in special coordinates. A remarkable first-order symmetrizable hyperbolic formulation is found that is surprisingly close to Einstein's original equations yet does not require such coordinates. This system has only physical characteristic directions, the light cone and the normal to the spacelike foliation, and serves to unify all the physical hyperbolic formulations. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.4384
DOI:
10.1103/PhysRevLett.82.4384
PACS:
04.20.Cv, 04.25.-g
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