  Consider the quasi-commutative approximation to a noncommutative geometry. It
is shown that there is a natural map from the resulting Poisson structure to
the Riemann curvature of a metric. This map is applied to the study of
high-frequency gravitational radiation. In classical gravity in the WKB
approximation there are two results of interest, a dispersion relation and a
conservation law. Both of these results can be extended to the noncommutative
case, with the difference that they result from a cocycle condition on the
high-frequency contribution to the Poisson structure, not from the field
equations.
