Stationary Line of N Kerr Masses Kept Apart by Gravitational Spin-Spin Interaction

Physics

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The metric is presented, in terms of six determinants of degree N, in a concise closed form, describing N collinear isolated Kerr masses (N=1, 2, 3, ...) balanced by their gravitational spin-spin interaction. Two hitherto unnoticed potentials L and M are introduced to evaluate the metric function ω. The conditions for regularity of the metric on the symmetrical axis are presented.

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