Gluing Charged Black Holes into de Sitter Space

Abstract We extend Hintz’s cosmological black hole gluing result to the Einstein–Maxwell system with positive cosmological constant by gluing multiple Reissner–Nordström–de Sitter or Kerr–Newman–de Sitter black holes into neighborhoods of points in the conformal boundary of de Sitter space. We determine necessary and sufficient conditions on the black hole parameters—related to Friedrich’s conformal constraint equations—for this gluing to be possible. We also improve the original gluing method slightly by showing that the construction of a solution in Taylor series may be accomplished using an exactness argument, eliminating the need for an early gauge fixing.