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Charged particle in higher dimensional weakly charged rotating black hole spacetime

Valeri P. Frolov*

Pavel Krtouš†

  • Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada T6G 2G7

  • Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University in Prague, V Holešovičkách 2, Prague, Czech Republic

  • *vfrolov@ualberta.ca
  • †Pavel.Krtous@utf.mff.cuni.cz
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Phys. Rev. D 83, 024016 – Published 14 January, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.024016

Abstract

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is shown that for a special configuration of the electromagnetic field, the equations of motion of charged particles are completely integrable. The vector potential of such a field is proportional to one of the Killing vectors (called a primary Killing vector) from the “Killing tower” of symmetry generating objects which exists in the background geometry. A free constant in the definition of the adopted electromagnetic potential is proportional to the electric charge of the higher dimensional black hole. The full set of independent conserved quantities in involution is found. We demonstrate that Hamilton-Jacobi equations are separable, as is the corresponding Klein-Gordon equation and its symmetry operators.

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Phys. Rev. D 83, 024016– Published 14 January, 2011
  • Received 11 October 2010

© 2011 American Physical Society

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