Electron in higher-dimensional weakly charged rotating black hole spacetimes

Article

Electron in higher-dimensional weakly charged rotating black hole spacetimes

Cariglia, M.; Frolov, V. P.; Krtouš, P.; Kubizňák, D.

Phys. Rev. D 87(6), 064003 (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 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 [Phys. Rev. D83, 024016 (2011)].

Keywords

Kerr-NUT-AdS black holes, Dirac equation, separability, weak EM field

Institute authors

Krtouš, Pavel

Supported by

GACR 202/09/0772 — Current problems of gravitation, general relativity and relativistic astrophysics
GACR 203/12/0118 — Spacetimes and Fields in Higher Dimensional and Classical Gravity

BibTeX

@article{UTF442,
  author        = {Cariglia, M. and Frolov, V. P. and Krtouš, P. and Kubizňák, D.},
  title         = {{Electron in higher-dimensional weakly charged rotating black hole spacetimes}},
  journal       = {Phys. Rev. D},
  volume        = {87},
  number        = {6},
  pages         = {064003},
  year          = {2013},
  doi           = {10.1103/PhysRevD.87.064003},
  eprint        = {1211.4631},
  archivePrefix = {arXiv},
}