Physics
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983pthph..69..503y&link_type=abstract
Progress of Theoretical Physics, Vol. 69, No. 2, pp. 503-515
Physics
10
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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