  We construct solutions to five dimensional minimal supergravity using an
Atiyah-Hitchin base space. In examining the structure of solutions we show that
they generically contain a singularity either on the Atiyah-Hitchin bolt or at
larger radius where there is a singular solitonic boundary. However for most
points in parameter space the solution exhibits a velocity of light surface
(analogous to what appears in a Goedel space-time) that shields the
singularity. For these solutions, all closed time-like curves are causally
disconnected from the rest of the space-time in that they exist within the
velocity of light surface, which null geodesics are unable to cross. The
singularities in these solutions are thus found to be hidden behind the
velocity of light surface and so are not naked despite the lack of an event
horizon. Outside of this surface the space-time is geodesically complete,
asymptotically flat and can be arranged so as not to contain closed time-like
curves at infinity. The rest of parameter space simply yields solutions with
naked singularities.
