Charged Balanced Black Rings in Five Dimensions

TL;DR

This paper introduces balanced charged black ring solutions in five-dimensional Einstein-Maxwell theory, demonstrating their regularity, stability, and compliance with physical laws through numerical construction.

Contribution

It provides the first numerical solutions of balanced charged black rings with rotation in five dimensions, extending the understanding of higher-dimensional black objects.

Findings

Solutions are asymptotically flat and free of conical singularities.

Black rings possess a regular horizon with S1 x S2 topology.

The solutions satisfy a Smarr relation.

Abstract

We present balanced black ring solutions of pure Einstein-Maxwell theory in five dimensions. The solutions are asymptotically flat, and their tension and gravitational self-attraction are balanced by the repulsion due to rotation and electrical charge. Hence the solutions are free of conical singularities and possess a regular horizon which exhibits the topology S1 x S2 of a torus. We discuss the global charges and the horizon properties of the solutions and show that they satisfy a Smarr relation. We construct these black rings numerically, restricting to the case of black rings with a rotation in the direction of the S1.