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The full metric describing two counter-rotating identical Kerr black holesseparated by a massless strut is derived in the explicit analytical form. Itcontains three arbitrary parameters which are the Komar mass M, Komar angularmomentum per unit mass a of one of the black holes (the other has the same massand equal but opposite angular momentum) and the coordinate distance R betweenthe centers of the horizons. In the limit of extreme black holes, the metricbecomes a special member of the Kinnersly-Chitre five-parameter family ofvacuum solutions generalizing the Tomimatsu-Sato delta=2 spacetime, and wepresent the complete set of metrical fields defining this limit.

Exact solution for the simplest binary system of Kerr black holes