Charged and rotating multi-black holes in an external gravitational field

Abstract We construct analytical and regular solutions in four-dimensional General Relativity which represent multi-black hole systems immersed external gravitational field configurations. The background is composed by an infinite multipolar expansion, allows to regularise the conical singularities of array collinear static black holes. A stationary rotating generalisation achieved adding independent angular momenta NUT parameters each source binary configuration. Moreover, a charged extension system at equilibrium generated. Finally, we show that Majumdar–Papapetrou solution consistently recovered vanishing limit. All these reach state due only, avoiding this way presence any string or strut defect.