On a quadratic first integral for the charged particle orbits in the charged Kerr solution |
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| Authors: | Lane P. Hughston Roger Penrose Paul Sommers Martin Walker |
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| Affiliation: | (1) Department of Physics: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey, USA;(2) Division of Mathematics and Mathematical Physics, The University of Texas at Dallas, Dallas, Texas, USA;(3) Department of Mathematics, Birkbeck College, London, England;(4) Center for Relativity Theory, The University of Texas at Austin, Austin, Texas, USA;(5) Present address: Max-Planck-Institute for Physics and Astrophysics, Föhringer Ring 6, 8000 München 40, Germany |
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| 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.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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