  We construct a new exact solution of Einstein's equations in vacuo in terms
of Weyl canonical coordinates. This solution may be interpreted as a black hole
in a space-time which is periodic in one direction and which behaves
asymptotically like the Kasner solution with Kasner index equal to $4M L^{-1}$,
where $L$ is the period and $M$ is the mass of the black hole. Outside the
horizon, the solution is free of singularities and approaches the Schwarzschild
solution as $L \rightarrow \infty$.
