Geodesic motion and test fields in the background of higher-dimensional black holes

Physics

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Black Holes, Higher Dimensions, Geodesic Motion, Integrability And Separability, Test Fields

Scientific paper

In a series of papers, we recently investigated properties of geodesic motion and test scalar fields in the background of generic rotating higher-dimensional black holes. In this contribution, we briefly discuss the integrability of geodesic motion, the construction of constants of motion, and the relation to the separability of the Hamilton-Jacobi equation. We also present a class of algebraically special test electromagnetic fields which generalize the electromagnetic field of a charged black hole in four dimensions. It will be, however, shown that in higher dimensions such fields cannot be easily modified in such a way that they would satisfy full Maxwell-Einstein equations.

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