Chaotic null geodesic scattering between six charged black holes at octahedral vertices
The Majumdar-Papapetrou solution to the Einstein-Maxwell equations describes a collection of extremally charged black holes in electrostatic equilibrium. Here six such black holes are arranged on the vertices of a regular octahedron. The trajectories of light in this system are highly sensitive to initial conditions: as the initial angle of a single light ray is slightly varied, large changes in global trajectory result, illustrating the chaotic nature of null geodesics in multi-black-hole spacetimes.
The geodesics are computed by numerical integration in the Majumdar-Papapetrou metric with potential U=1+∑i=16Mi/∣x−xi∣. Controls: Click and drag to orbit, scroll to zoom.
