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On a quadratic first integral for the charged particle orbits in the charged Kerr solution

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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.

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Author notes

  1. Martin Walker

    Present address: Max-Planck-Institute for Physics and Astrophysics, Föhringer Ring 6, 8000, München 40, Germany

Authors and Affiliations

  1. Department of Physics: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey, USA

    Lane P. Hughston

  2. Division of Mathematics and Mathematical Physics, The University of Texas at Dallas, Dallas, Texas, USA

    Lane P. Hughston

  3. Department of Mathematics, Birkbeck College, London, England

    Roger Penrose

  4. Center for Relativity Theory, The University of Texas at Austin, Austin, Texas, USA

    Paul Sommers & Martin Walker

Authors
  1. Lane P. Hughston
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  2. Roger Penrose
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  3. Paul Sommers
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  4. Martin Walker
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Additional information

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

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