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arXiv · 1211.4631

Electron in higher-dimensional weakly charged rotating black hole spacetimes

Marco Cariglia·Valeri P. Frolov·Pavel Krtous·David Kubiznak
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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].

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Marco Cariglia, Valeri P. Frolov, Pavel Krtous, David Kubiznak. 2012-11-20. Electron in higher-dimensional weakly charged rotating black hole spacetimes. https://doi.org/10.1103/physrevd.87.064003

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