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We present numerical evidences for the validity of the inequality between thetotal mass and the total angular momentum for multiple axially symmetric(non-stationary) black holes. We use a parabolic heat flow to solve numericallythe stationary axially symmetric Einstein equations. As a by product ourmethod, we also give numerical evidences that there are no regular solutions ofEinstein equations that describe two extreme, axially symmetric black holes inequilibrium.

Numerical evidences for the angular momentum-mass inequality for multiple axially symmetric black holes