# A systematic construction of microstate geometries with low angular momentum

Journal of High Energy Physics, Oct 2017

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 through which such solutions can be constructed: using multi-center Gibbons-Hawking (GH) spaces or using superstratum technology. So far the only solutions corre-sponding to microstate geometries for black holes with no angular momentum have been obtained via superstrata [1], and multi-center Gibbons-Hawking spaces have been believed to give rise only to microstate geometries of BMPV black holes with a large angular mo-mentum [2]. We perform a thorough search throughout the parameter space of smooth horizonless solutions with four GH centers and find that these have an angular momentum that is generally larger than 80% of the cosmic censorship bound. However, we find that 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.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP10%282017%29217.pdf

Iosif Bena, Pierre Heidmann, Pedro F. Ramírez. A systematic construction of microstate geometries with low angular momentum, Journal of High Energy Physics, 2017, 217, DOI: 10.1007/JHEP10(2017)217