non-admissible solutions are, in general, not truly supersymmetric in the sense that will be explained later on and the conditions of admissibility can be seen as conditions for a solution to be everywhere supersymmetric. For instance: the Kerr-Newman solution with equal charge and mass, which is singular but nevertheless commonly believed to be supersymmetric, is non-admissible according to our criteria. We will show that it fails to be supersymmetric at the singularity, where the sources might be located. Equivalently we can say that the Kerr-Newman field with $M=|q|$ is caused by non-supersymmetric sources. This explains why it is not described by any supersymmetric String Theory model. We will also show that, generically, rotating sources are not allowed by supersymmetry and that regular, supersymmetric solutions with angular momentum are always composite objects made out of several static black holes in equilibrium. The angular momentum has its origin in the dipole momenta of the electromagnetic fields corresponding to the distribution of charged black holes. Something similar happens for scalar fields: supersymmetric configurations satisfying our conditions can have non-trivial scalar fields but cannot have sources.

In order to prove these results, we will make use of the explicit knowledge of the most general 