Stable Bound Orbits around Black Rings

TL;DR

This paper investigates the existence and properties of stable bound particle orbits around singly rotating black rings, revealing conditions for large stable orbits and their geometric configurations.

Contribution

It demonstrates the existence of stable bound orbits in black rings, including large and circular orbits, which was not previously known.

Findings

Stable bound orbits exist in toroidal spiral shapes near the ring axis.

Stable circular orbits are present on the axis as special cases.

Large stable orbits are possible if the ring's thickness is below a critical value.

Abstract

We examine bound orbits of particles around singly rotating black rings. We show that there exist stable bound orbits in toroidal spiral shape near the axis of the ring, and also exist stable circular orbits on the axis as special cases. The stable bound orbits can have arbitrary large size if the thickness of the ring is less than a critical value.