A systematic construction of microstate geometries with low angular momentum

TL;DR

This paper presents a systematic method to construct horizonless microstate geometries with the same charges as three-charge black holes, focusing on solutions with very low angular momentum using multi-center Gibbons-Hawking spaces and supertube configurations.

Contribution

It introduces a new construction approach for low-angular-momentum microstate geometries using three Gibbons-Hawking centers and supertubes, expanding beyond previous superstratum-based solutions.

Findings

Solutions with four Gibbons-Hawking centers have high angular momentum, exceeding 80% of the cosmic censorship bound.

Configurations with three Gibbons-Hawking centers and one supertube can achieve arbitrarily low angular momentum.

The method provides a way to build microstate geometries for zero-angular-momentum black holes without superstratum technology.

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 through which such solutions can be constructed: using multi-center Gibbons-Hawking (GH) spaces or using superstratum technology. So far the only solutions corresponding to microstate geometries for black holes with no angular momentum have been obtained via superstrata, and multi-center Gibbons-Hawking spaces have been believed to give rise only to microstate geometries of BMPV black holes with a large angular momentum. 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.