Charged rotating Kaluza-Klein multiblack holes and multiblack strings in five-dimensional Einstein-Maxwell theory

We construct exact solutions, which represent regular charged rotating Kaluza-Klein multiblack holes in the five-dimensional pure Einstein-Maxwell theory. Quantization conditions between the mass, the angular momentum, and charges appear from the regularity condition of horizon. We also obtain multiblack string solutions by taking some limits in the solutions. We extend the black hole solutions to the five-dimensional Einstein-Maxwell-Chern-Simons theory with an arbitrary Chern-Simons coupling constant.