Extreme binary black holes in a physical representation

Stationary axisymmetric binary systems of unequal co-and counter-rotating extreme Kerr black holes separated by a conical singularity are studied. Both solutions are identified as two threeparametric subfamilies of the Kinnersley-Chitre metric, and fully depicted byKomar parameters: the two masses M-1 and M-2, and a coordinate distance R, where the angular momenta J(1) and J(2) are functions of these parameters. Our physical representation allows us to identify clearly some limits and novel physical properties.