solutions of $N=2,d=4$ supergravity coupled to vector multiplets, which have recently been classified in Ref. [@Meessen:2006tu][^4] . All the asymptotically flat supersymmetric black hole solutions seem to belong to the timelike class, and, although they coincide with the solutions found in Ref. [@Behrndt:1997ny], the general formalism will allow us to make further progress in their understanding. In particular, we will use the *Killing Spinor Identities* (KSIs) [@Kallosh:1993wx; @Bellorin:2005hy], which can be understood as integrability conditions for the Killing spinor equations, in order to study supersymmetry at the singular points where the sources of these solutions should be located.

The final ingredient will be the attractor equations of $N=2,d=4$ supergravity [@Ferrara:1995ih; @Strominger:1996kf; @Ferrara:1996dd; @Ferrara:1996um]: these provide us with information about the sources thought of as being placed at the attractor points. In fact, we will find interesting relations between KSIs and attractor equations, the former showing explicitly that

1.  supersymmetry always requires the absence of the kind of scalar hair called *primary* in Ref. [@Coleman:1991ku], and that

2.  when the attractor equations are satisfied there are no sources whatsoever for scalar hair.[^5]

These results can be viewed as an extension of those of Ref. [@Kallosh:1992ii] in which it was observed that 