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)].
type: | article |
journal: | Phys. Rev. D |
volume: | 87 |
nr: | 6 |
pages: | 064003 |
year: | 2013 |
eprint: | arXiv:1211.4631 |
grants: | Current problems of gravitation, general relativity and relativistic astrophysics, GAČR 202/09/0772; 2009-2013; hlavní řešitel: Jiří BičákSpacetimes and Fields in Higher Dimensional and Classical Gravity, GAČR 203/12/0118 ; 2012-2016; hlavní řešitel: Jiří Podolský |