English: Trajectories of bodies in a Penrose process in Boyer–Lindquist coordinates.

Schwarzschild radius = 1, Kerr parameter ~ .5, charge = 0. The incoming body (thick arrow) falls from infinity in the equatorial plane. At it's turning point (red dot) it shoots back a propellant (thin gray line) that falls into the black hole, while the remaining body (thin black line) accelerates forward, flying away with more energy than the original body had. Both products of the split are taken to travel at the light speed, the remaining body in the direction of the rotation of the black hole, the propellant - in the opposite direction.

Numerics and graphics by Mathematica.