Neither black-holes nor regular solitons: a no-go theorem

By studying the BPS equations for electrostatic and spherically symmetric configurations in N=2, d=5 gauged supergravity with vector multiplets and hypermultiplets coupled, we demonstrate that no regular supersymmetric black-hole solutions of this kind exist. Furthermore, we demonstrate that it is not possible to construct supersymmetric regular solitons that have the above symmetries. As a consequence the scalar flow associated to the BPS solutions is always unbounded.