  A complete characterization is obtained of the asymptotic behavior of
solutions of the static vacuum Einstein equations which have a (pseudo)-compact
horizon or boundary and are complete away from the boundary. It is proved that
the time-symmetric space-like hypersurface has only finitely many ends, each of
which is either asymptotically flat (AF) or parabolic, as in the (static)
Kasner metric. Examples are given with both types of behavior, together with an
extensive discussion and new characterization of Weyl metrics. The asymptotics
result allows one in most circumstances to drop the AF assumption from the
static black hole uniqueness theorems and replace it with just a completeness
assumption.
