Stable bound orbits in black lens backgrounds

TL;DR

This paper demonstrates the existence of stable bound orbits for particles in five-dimensional black lens backgrounds, including supersymmetric cases, contrasting with other known five-dimensional black hole spacetimes.

Contribution

It reveals stable bound orbits in black lens backgrounds, a novel finding differing from previously known five-dimensional black hole solutions.

Findings

Stable bound orbits for massive and massless particles in black lens backgrounds.

Existence of stable circular orbits on evanescent ergosurfaces at zero energy.

Contrast with instability in other five-dimensional black hole spacetimes.

Abstract

In contrast to five-dimensional Schwarzschild-Tangherlini and Myers-Perry backgrounds, we show that there are stable bound orbits of massive/massless particles in five-dimensional black lens backgrounds, in particular, the supersymmetric black lens with $L(2,1)$ and $L(3,1)$ topologies. We also show that in the zero-energy limit of massless particles, there exist stable circular orbits on the evanescent ergosurfaces.