On the Kramer-Neugebauer Spinning Masses Solutions

Physics

Scientific paper

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Scientific paper

It is shown that the three metric functions f, ω and γ of collinear N Kerr particles (N=1, 2, 3,\cdots) are written, in terms of six determinants of degree N (J, K, L, M, S and T), in a concise closed form. The conditions both for the regularity of the metric on the symmetrical z axis and for the positive total mass are discussed. The two hitherto unnoticed potentials L and M are introduced in order to evaluate the metric function ω.

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