  Using a recently developed generalized Weyl formalism, we construct an
asymptotically flat, static vacuum Einstein solution that describes a
superposition of multiple five-dimensional Schwarzschild black holes. The
spacetime exhibits a U(1)\times U(1) rotational symmetry. It is argued that for
certain choices of parameters, the black holes are collinear and so may be
regarded as a five-dimensional generalization of the Israel-Khan solution. The
black holes are kept in equilibrium by membrane-like conical singularities
along the two rotational axes; however, they still distort one another by their
mutual gravitational attraction. We also generalize this solution to one
describing multiple charged black holes, with fixed mass-to-charge ratio, in
Einstein-Maxwell-dilaton theory.
