# Balancing a static black ring with a phantom scalar field

## TL;DR

This paper demonstrates the existence of balanced, static black ring solutions in five-dimensional spacetime using a phantom scalar field to counteract conical singularities, expanding the understanding of black ring configurations.

## Contribution

It introduces numerical solutions for static, asymptotically flat black rings balanced by a phantom scalar field, a novel approach in higher-dimensional black hole physics.

## Key findings

- Balanced black ring solutions exist with phantom scalar fields.
- Solutions are regular on and outside the event horizon.
- Similar configurations may exist in other dimensions.

## Abstract

All known five dimensional, asymptotically flat, static black rings possess conical singularities. However, there is no fundamental obstruction forbidding the existence of balanced configurations, and we show that the Einstein--Klein-Gordon equations admit (numerical) solutions describing static asymptotically flat black rings, which are regular on and outside the event horizon. The scalar field is 'phantom', which creates the self-repulsion necessary to balance the black rings. Similar solutions are likely to exist in other spacetime dimensions, the basic properties of a line element describing a four dimensional, asymptotically flat black ring geometry being discussed.