Two equal Kerr-Newman sources in stationary equilibrium

Physics

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By applying the Harrison transformation to two equal Kerr black holes spinning around the same axis we find the solution corresponding to two equal Kerr-Newman black holes. We succeed in removing all stress singularities along the axis and simultaneously giving the system total positive mass. However, there still persists a singularity off the axis in the plane with respect to which the holes are located symmetrically. We conjecture that two black holes cannot be in stationary equi- librium except for the exceptional case of two nonrotating extreme Reissner-Nordström black holes.

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