Figure 14

Figure 14: GM ∕ ℓ2 (vertical) against G|Ji|∕ℓ3 for d = 5 Myers–Perry-AdS black holes. Nonextremal black holes fill the region above the surface. The surface corresponds to extremal black holes, except when one of the angular momenta vanishes (in which case there is not a regular horizon, just as in the asymptotically-flat case). This “extremal surface” lies inside the square-based pyramid (with vertex at the origin) defined by the BPS relation M = |J1|∕ℓ + |J2|∕ℓ, so none of the black holes are BPS.