Moduli Space of Supersymmetric Solitons and Black Holes in Five Dimensions

We determine all asymptotically flat, supersymmetric and biaxisymmetric soliton and black hole solutions to five-dimensional minimal supergravity. In particular, we show that the solution must be a multi-centred solution with a Gibbons-Hawking base. The proof involves combining local constraints from supersymmetry with global constraints for stationary and biaxisymmetric spacetimes. This reveals that the horizon topology must be one of S-3, S1xS2 or a lens space L(p, 1), thereby providing a refinement of the allowed horizon topologies.We construct the general smooth solution for each possible rod structure. We find a large moduli space of black hole spacetimes with noncontractible 2-cycles for each of the allowed horizon topologies. In the absence of a black hole, we obtain a classification of the known bubbling' soliton spacetimes.