Charged Rotating Black Holes in Odd Dimensions

We consider charged rotating black holes in D = 2N + 1 dimensions, D ≥ 5. While these black holes generically possess N independent angular momenta, associated with N distinct planes of rotation, we here focus on black holes with equal-magnitude angular momenta. The angular dependence can then be treated explicitly, and a system of 5 D-dependent ordinary differential equations is obtained. We solve these equations numerically for Einstein-Maxwell theory in D = 5, 7 and 9 dimensions. We discuss the global and horizon properties of these black holes, as well as their extremal limits.