Publikace ÚTF

Electron in higher-dimensional weakly charged rotating black hole spacetimes

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

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)].
typ:article
journal:Phys. Rev. D
volume:87
nr:6
pages:064003
year:2013
pacs:04.50.-h, 04.20.Jb, 04.50.Gh, 04.70.Bw
eprint:arXiv:1211.4631
odkaz:
files:
physrevd87(2013)064003.pdf (228.16 kB)

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