Abstract
Associated with the charged Kerr solution of the Einstein gravitational field equation there is a Killing tensor of valence two. The Killing tensor, which is related to the angular momentum of the field source, is shown to yield a quadratic first integral of the equation of the motion for charged test particles.
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The research reported herein has been supported in part by the National Science Foundation, grants GP-8868, GP-20023, and GU-1598; the Air Force Office of Scientific Research, grant 903-67; the National Aeronautics and Space Administration, grant 44-004-001; and the Westinghouse Corporation.
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Hughston, L.P., Penrose, R., Sommers, P. et al. On a quadratic first integral for the charged particle orbits in the charged Kerr solution. Commun.Math. Phys. 27, 303–308 (1972). https://doi.org/10.1007/BF01645517
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DOI: https://doi.org/10.1007/BF01645517