A supersymmetric black ring

TL;DR

This is the first example of a supersymmetric, asymptotically flat black hole of nonspherical topology that has an event horizon of topology S1 x S2 and is uniquely specified by its electric charge and two independent angular momenta.

Abstract

A new supersymmetric black hole solution of five-dimensional supergravity is presented. It has an event horizon of topology S1xS2. This is the first example of a supersymmetric, asymptotically flat black hole of non-spherical topology. The solution is uniquely specified by its electric charge and two independent angular momenta. These conserved charges can be arbitrarily close, but not exactly equal, to those of a supersymmetric black hole of spherical topology.

Figures (1)

• Figure 1: Plot of the dimensionless horizon area $a_H={\cal A}/(GM)^{3/2}$ as a function of the dimensionless angular momenta $j_i =(27 \pi /(32 G))^{1/2} J_i/M^{3/2}$, $i = \psi,\phi$. The scales for $j_\phi$ and $j_\psi$ are different for a better representation: the planar boundary corresponds to $j_\psi=j_\phi$ (which is only reached as $R \to 0$). The surface extends to infinity to the right.