Supergravity Solutions Without Tri-holomorphic U(1) Isometries
arXiv:0811.2244 · doi:10.1103/PhysRevD.78.126002
Abstract
We investigate the construction of five-dimensional supergravity solutions that don't have any tri-holomorphic U(1) isometries. We construct a class of solutions that in various limits of parameters reduces to many of previously constructed five-dimensional supergravity solutions based on both hyper-Kahler base spaces that can be put into a Gibbons-Hawking form and hyper-Kahler base spaces that can't be put into a Gibbons-Hawking form. We find a new solution which is over triaxial Bianchi type IX Einstein-hyperkahler base space with no tri-holomorphic U(1) symmetry. One special case of this solution corresponds to five-dimensional solution based on Eguchi-Hanson type II geometry.
15 pages, 2 figures
References in corpus (27)
- A rotating black ring in five dimensions
- All supersymmetric solutions of minimal supergravity in five dimensions
- D--branes and Spinning Black Holes
- Eleven Dimensional Origin of String/String Duality: A One Loop Test
- A supersymmetric black ring
- Black Saturn
- Bubbling Supertubes and Foaming Black Holes
- Stationary and Axisymmetric Solutions of Higher-Dimensional General Relativity
- A generalization of Hawking's black hole topology theorem to higher dimensions
- Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
- On the topology and area of higher dimensional black holes
- The quantum structure of black holes
- Supergravity Solution of Intersecting Branes and AdS/CFT with Flavor
- A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
- Bubbles on Manifolds with a U(1) Isometry
- On the Topology of Black Hole Event Horizons in Higher Dimensions
- Black Rings with Varying Charge Density
- Bianchi IX Self-dual Einstein Metrics and Singular G_2 Manifolds
- (Anti-)Instantons and the Atiyah-Hitchin Manifold
- Bianchi Type IX M-Branes
- New Reducible Membrane Solutions in D=11 Supergravity
- Sliding Rings and Spinning Holes
- Supersymmetric Black Rings on Eguchi-Hanson Space
- Atiyah-Hitchin M-Branes
- New Reducible Five-brane Solutions in M-theory
- Supergravity on an Atiyah-Hitchin Base
- Low-temperature proximity effect in clean metals
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- Cosmological Solutions in Five Dimensional Minimal Supergravity
- Explicit Quaternionic Contact Structures and Metrics with Special Holonomy
- Exact Dynamical Black Hole Solutions in Five or Higher Dimensions
- Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D