On a Quadratic First Integral for the Charged Particle Orbits in the Charged Kerr Solution

Hughston, L P; Penrose, R; Sommers, P and Walker, M. 1972. On a Quadratic First Integral for the Charged Particle Orbits in the Charged Kerr Solution. Communications in Mathematical Physics, 27(4), pp. 303-308. ISSN 0010-3616 [Article]
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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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