Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-27
Phys.Rev.D74:024011,2006
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, minor changes, typos corrected
Scientific paper
10.1103/PhysRevD.74.024011
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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