On Gravitational Mass and Angular Momentum of Two Black Holes in Equilibrium

Physics

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Scientific paper

We investigate the Komar integrals for the metric describing a nonlinear superposition of two Kerr-NUT metrics. This metric can be interpreted as a system of two black holes in equilibrium. We define the gravitational mass and angular momentum of each black hole by the surface integrals over each horizon, and observe the effedct of their gravitational spin-spin interaction. Moreover, we discuss the problem whether the gravitational masses obtained here are positive or not. If the metric fails to satisfy the condition of elementary flatness on the part of the axis between the two horizons, the peculiar property of this region is studied from the viewpoint of the Komar integrals.

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