Spherical Photon Orbits around a 5D Myers-Perry Black Hole

TL;DR

This paper investigates the properties and existence conditions of spherical photon orbits around a five-dimensional Myers-Perry black hole, revealing their complex quasiperiodic behavior and providing explicit orbit radii calculations.

Contribution

It introduces the analysis of non-planar spherical photon orbits in 5D black holes, including conditions for their existence and explicit orbit radii computations.

Findings

Spherical photon orbits can be non-planar and quasiperiodic.

Necessary conditions for orbit existence are derived.

Explicit radii for equatorial and polar circular orbits are computed.

Abstract

We study the motion of bound null geodesics with fixed coordinate radius around a five-dimensional rotating black hole. These spherical photon orbits are not confined to a plane, and can exhibit interesting quasiperiodic behaviour. We provide necessary conditions for the existence of these orbits, and explicitly compute the radii of circular orbits in the equatorial and polar planes. Finally, we plot representative examples of some of the types of possible orbits, commenting on their qualitative features.