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We outline a systematic procedure to obtain horizonless microstate geometriesthat have the same charges as three-charge five-dimensional black holes with amacroscopically-large horizon area and an arbitrarily-small angular momentum.There are two routes through which such solutions can be constructed: usingmulti-center Gibbons-Hawking (GH) spaces or using superstratum technology. Sofar the only solutions corresponding to microstate geometries for black holeswith no angular momentum have been obtained via superstrata, and multi-centerGibbons-Hawking spaces have been believed to give rise only to microstategeometries of BMPV black holes with a large angular momentum. We perform athorough search throughout the parameter space of smooth horizonless solutionswith four GH centers and find that these have an angular momentum that isgenerally larger than 80% of the cosmic censorship bound. However, we find thatsolutions with three GH centers and one supertube (which are smooth insix-dimensional supergravity) can have an arbitrarily-low angular momentum. Ourconstruction thus gives a recipe to build large classes of microstategeometries for zero-angular-momentum black holes without resorting tosuperstratum technology.

A systematic construction of microstate geometries with low angular momentum