Source of the Kerr Metric

Details Source of the Kerr Metric Source of the Kerr Metric

Aug 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970phrvd...2..641i&link_type=abstract

Physical Review D, vol. 2, Issue 4, pp. 641-646

Physics

104

Scientific paper

Assuming that the Kerr-Newman metric is the field of a layer of mass and charge distributed over the equatorial disk spanning the ring singularity, the source distribution on the disk is computed explicitly. In the uncharged case, this interpretation automatically excises the noncausal parts of the manifold, so that one obtains the unique source of the causally maximal extension of the vacuum metric. A Newtonian field which gives the same source distribution is exhibited, and shown to be closely analogous to the relativistic case. In particular, the Newtonian particle orbits show the same avoidance of the ring singularity that is such a remarkable feature of geodesics in the Kerr geometry. In the charged case, we examine how the gyromagnetic moment (which is equal to that of the Dirac electron) is reflected in the character of the source distribution.

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