  By employing the Bianchi identities for the Riemann tensor in conjunction
with the Einstein equations, we construct a first order symmetric hyperbolic
system for the evolution part of the Cauchy problem of general relativity. In
this system, the metric evolves at zero speed with respect to observers at rest
in a foliation of spacetime by spacelike hypersurfaces while the curvature and
connection propagate at the speed of light. The system has no unphysical
characteristics, and matter sources can be included.
