![Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes](https://cmsa.fas.harvard.edu/media/Existence-and-Uniqueness-of-Near-Horizon-Geometries-for-5-Dimensional-Black-Holes.png)
![Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes](/media/Screen-Shot-2019-01-11-at-2.48.25-PM-232x300-1.png)
Abstract: We prove existence of all possible bi-axisymmetric near-horizon geometries of 5-dimensional minimal supergravity. These solutions possess the cross-sectional horizon topology S3, S1ÃS2, or L(p,q) and come with prescribed electric charge, two angular momenta, and a dipole charge (in the ring case). Moreover, we establish uniqueness of these solutions up to an isometry of the symmetric space G2(2)/SO(4).