Electron in higher-dimensional weakly charged rotating black hole spacetimes

Understand

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].