Stable Bound Orbits around Black Rings

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.

9 pages, 7 figures

References in corpus (5)

• Bicycling Black Rings
• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Orthogonal black di-ring solution
• Geodesics and Symmetries of Doubly-Spinning Black Rings
• Particle Motion in the Rotating Black Ring Metric

Cited by in corpus (1)

• Chaos in Geodesic Motion around a Black Ring