Figure 10

Figure 10: Curves aH (j) for phases of five-dimensional black holes with a single angular momentum: MP black hole (black), black ring (dark gray), black Saturn (light gray). We only include those black Saturns, where the central black hole and the black ring have equal surface gravities and angular velocities. The three curves meet tangentially at a naked singularity at j = 1, aH = 0. The cusp of the black-ring curve occurs at ∘ ------ j = 27∕32 ≈ 0.9186, aH = 1. The cusp of the black-Saturn curve is at j ≈ 0.9245, with area aH ≈ 0.81.