Supergravity on an Atiyah-Hitchin Base

Abstract

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.

29 pages, 5 figures, citations added, analytic solution added, figures changed, main results unaltered

References in corpus (5)

• Black Saturn
• Tunnelling From Gödel Black Holes
• Bubbles on Manifolds with a U(1) Isometry
• Supersymmetric Black Rings on Eguchi-Hanson Space
• On the Entropy of Four-Dimensional Near-Extremal N=2 Black Holes with R^2-Terms

Cited by in corpus (7)

• Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity
• Compact supersymmetric solutions of the heterotic equations of motion in dimension 5
• Supergravity Solutions Without Tri-holomorphic U(1) Isometries
• Charged black holes on the Taub-Bolt instanton
• A black ring on the Taub-bolt instanton in five dimensions
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5
• Exact Solutions and Black Hole Stability in Higher Dimensional Supergravity Theories