NEITHER BLACK HOLES NOR REGULAR SOLITONS: A NO-GO THEOREM

Abstract

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.