Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes

Aghil Alaee; Marcus Khuri; Hari Kunduri

doi:10.1016/j.geomphys.2019.06.016

paper

Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes

arXiv:1812.08285 · doi:10.1016/j.geomphys.2019.06.016

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 $S^{3}$ , $S^{1} \times S^{2}$ , 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 $G_{2 (2)} / S O (4)$ .