Electron in higher-dimensional weakly charged rotating black hole spacetimes
General Relativity and Quantum Cosmology
2013-04-10 v1 High Energy Physics - Theory
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 [1].
Cite
@article{arxiv.1211.4631,
title = {Electron in higher-dimensional weakly charged rotating black hole spacetimes},
author = {Marco Cariglia and Valeri P. Frolov and Pavel Krtous and David Kubiznak},
journal= {arXiv preprint arXiv:1211.4631},
year = {2013}
}
Comments
12 pages, no figures