  We show that classical space-times can be derived directly from the S-matrix
for a theory of massive particles coupled to a massless spin two particle. As
an explicit example we derive the Schwarzchild space-time as a series in $G_N$.
At no point of the derivation is any use made of the Einstein-Hilbert action or
the Einstein equations. The intermediate steps involve only on-shell S-matrix
elements which are generated via BCFW recursion relations and unitarity sewing
techniques. The notion of a space-time metric is only introduced at the end of
the calculation where it is extracted by matching the potential determined by
the S-matrix to the geodesic motion of a test particle. Other static
space-times such as Kerr follow in a similar manner. Furthermore, given that
the procedure is action independent and depends only upon the choice of the
representation of the little group, solutions to Yang-Mills (YM) theory can be
generated in the same fashion. Moreover, the squaring relation between the YM
and gravity three point functions shows that the seeds that generate solutions
in the two theories are algebraically related. From a technical standpoint our
methodology can also be utilized to calculate quantities relevant for the
binary inspiral problem more efficiently than the more traditional Feynman
diagram approach.
