Stable bound orbits in microstate geometries

TL;DR

This paper demonstrates the existence of stable bound orbits for particles in a specific five-dimensional microstate geometry, using numerical analysis of a reduced potential problem.

Contribution

It reveals stable bound orbits in microstate geometries, a novel finding in the context of five-dimensional supergravity.

Findings

Stable bound orbits exist for massive and massless particles.

Numerical methods show potential minima indicating stable orbits.

Analysis applies to the simplest microstate geometry in five-dimensional supergravity.

Abstract

We show the existence of stable bound orbits for the massive and massless particles moving in the simplest microstate geometry spacetime in the bosonic sector of the five-dimensional minimal supergravity. In our analysis, reducing the motion of particles to a two-dimensional potential problem, we numerically investigate whether the potential has a negative local minimum.