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arXiv · hep-th/0604207

Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity

A. N. Aliev
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Abstract

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged black hole. In practice, this amounts to an appropriate re-scaling of the mass parameter in the metric of uncharged black holes. Using a similar approach, we assume a special metric ansatz in N+1 dimensions and present a new analytic solution to the Einstein-Maxwell system of equations. It describes rotating charged black holes with a single angular momentum in the limit of slow rotation. We also give the metric for a slowly rotating charged black hole with two independent angular momenta in five dimensions. We compute the gyromagnetic ratio of these black holes which corresponds to the value g=N-1.

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A. N. Aliev. 2006-07-13. Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity. https://doi.org/10.1103/physrevd.74.024011

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