Publication : t17/138

Abstract:
We outline a systematic procedure to obtain horizonless microstate geometries that have the same charges as three-charge five-dimensional black holes with a macroscopically-large horizon area and an arbitrarily-small angular momentum. There are two routes via which such solutions can be constructed: using multi-center Gibbons-Hawking spaces or using superstratum technology. So far the only solutions corresponding to microstate geometries for the BTZ black hole have been obtained via superstrata, and multi-center Gibbons-Hawking (GH) spaces have been believed to give rise only to microstate geometries of black holes with a large angular momentum. We perform a thorough search throughout the parameter space of solutions with four GH centers (which are smooth in five-dimensional supergravity) and find that these have an angular momentum that is generally larger than 80% of the cosmic censorship bound, but solutions with three GH centers and one supertube (which are smooth in six-dimensional supergravity) can have an arbitrarily-low angular momentum. Our construction thus gives a recipe to build large classes of microstate geometries for zero-angular-momentum black holes without resorting to superstratum technology.