d=4 attractors, effective horizon radius, and fake supergravity

We consider extremal black hole attractors [both Bogomol'nyi-Prasad-Sommerfield (BPS) and non-BPS] for N=3 and N=5 supergravity in d=4 space-time dimensions. Attractors for matter-coupled N=3 theory are similar to attractors in N=2 supergravity minimally coupled to Abelian vector multiplets. On the other hand, N=5 attractors are similar to attractors in N=4 pure supergravity, and in such theories only (1/N)-BPS nondegenerate solutions exist. All the above-mentioned theories have a simple interpretation in the first order (fake supergravity) formalism. Furthermore, such theories do not have a d=5 uplift. Finally we comment on the duality relations among the attractor solutions of N≥2 supergravities sharing the same full bosonic sector.