Abstract
The full metric describing two counter-rotating identical Kerr black holes separated by a massless strut is derived in the explicit analytical form. It contains three arbitrary parameters which are the Komar mass $M$, Komar angular momentum per unit mass $a$ of one of the black holes (the other has the same mass and equal but opposite angular momentum) and the coordinate distance $R$ between the centers of the horizons. In the limit of extreme black holes, the metric becomes a special member of the Kinnersly-Chitre five-parameter family of vacuum solutions generalizing the Tomimatsu-Sato $\ensuremath{\delta}=2$ spacetime, and we present the complete set of metrical fields defining this limit.
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