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Stationary axisymmetric systems of two extreme Kerr sources separated by amassless strut, which arise as subfamilies of the well-known Kinnersley-Chitresolution, are studied. We present explicit analytical formulas for theindividual masses and angular momenta of the constituents and establish therange of the parameters for which such systems can be regarded as describingblack holes. The mass-angular momentum relations and the interaction force inthe black-hole configurations are also analyzed. Furthermore, we construct acharging generalization of the Kinnersley-Chitre metric and, as applications ofthe general formulas obtained, discuss two special cases describing a pair ofidentical co- and counterrotating extreme Kerr-Newman black holes kept apart bya conical singularity. From our analysis it follows in particular that theequality $m^2-a^2-e^2=0$ relating the mass, angular momentum per unit mass andelectric charge of a single Kerr-Newman extreme black hole is no longerverified by the analogous extreme black-hole constituents in binaryconfigurations.

Stationary configurations of two extreme black holes obtainable from the Kinnersley-Chitre solution