Photon trajectories that reach a distant observer in far right z = 100M. The black disk at x = 1 represents the event horizon for α = 0 or the naked singularity for α≠0. Photon trajectories are colored according to the different parameters of the metric. Left panel: β = 0 and prolate object α=−0.01 (blue lines), Schwarzschild solution α = 0 (black lines), and oblate object α = 0.01 (red lines). Right panel: α = 0 and β=−10⁻⁶ (blue lines), Schwarzschild solution β = 0 (black lines), and β = 10⁻⁶ (red lines). Note that each set of three geodesics is emitted with the same impact parameter at z = 100M, but, due to the fact that the space time is not asymptotically flat, they reach the vicinity of the central object visible in the plot with slight deviations from the asymptotically flat α = 0 or β = 0 cases.