Stationary Line ofNKerr Masses Kept Apart by Gravitational Spin-Spin Interaction

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