Chaos in Geodesic Motion around a Black Ring

TL;DR

This paper investigates the chaotic behavior of particles in bound orbits around a singly rotating black ring, revealing the presence of chaos through Poincare map analysis.

Contribution

It demonstrates the existence of chaos in geodesic motion around a black ring, a novel finding in black hole physics.

Findings

Chaotic particle orbits are present around a black ring.

Poincare map confirms the chaotic nature of the motion.

Abstract

We study bound orbits of a free particle around a singly rotating black ring. We find there exists chaotic motion of a particle which is gravitationally bound to the black ring by using the Poincare map.