Electron in higher-dimensional weakly charged rotating black hole spacetimes

Marco Cariglia, Valeri P. Frolov, Pavel Krtouš, and David Kubizňák
Phys. Rev. D 87, 064003 – Published 4 March 2013

Abstract

We demonstrate separability of the Dirac equation in weakly charged rotating black hole spacetimes in all dimensions. The electromagnetic field of the black hole is described by a test field approximation, with the vector potential proportional to the primary Killing vector field. It is shown that the demonstrated separability can be intrinsically characterized by the existence of a complete set of mutually commuting first-order symmetry operators generated from the principal Killing-Yano tensor. The presented results generalize the results on integrability of charged particle motion and separability of charged scalar field studied in V. P. Frolov and P. Krtous [Phys. Rev. D 83, 024016 (2011)].

  • Received 22 November 2012

DOI:https://doi.org/10.1103/PhysRevD.87.064003

© 2013 American Physical Society

Authors & Affiliations

Marco Cariglia*

  • Departamento de Física, Universidade Federal de Ouro Preto, ICEB, Campus Morro do Cruzeiro, Morro do Cruzeiro, 35400-000 Ouro Preto, MG, Brasil

Valeri P. Frolov

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

Pavel Krtouš

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

David Kubizňák§

  • Perimeter Institute, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada

  • *marco@iceb.ufop.br
  • vfrolov@ualberta.ca
  • Pavel.Krtous@utf.mff.cuni.cz
  • §dkubiznak@perimeterinstitute.ca

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Issue

Vol. 87, Iss. 6 — 15 March 2013

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