Polar orbits in the Kerr space-time.

Physics

Scientific paper

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General Relativity:Kerr Black Holes, General Relativity:Kerr Metric, Kerr Black Holes:General Relativity

Scientific paper

The motion of test particles in polar orbit about the source of the Kerr field of gravity is studied using Carter's first integrals for timelike geodesics in the Kerr space-time. Expressions giving the angular coordinates of such particles as functions of the radial one are derived, both for the case of a rotating black hole as well as for that of a naked singularity.

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