Surface Geometry of 5D Black Holes and Black Rings
arXiv:gr-qc/0612033 · doi:10.1103/PhysRevD.75.124001
Abstract
We discuss geometrical properties of the horizon surface of five-dimensional rotating black holes and black rings. Geometrical invariants characterizing these 3D geometries are calculated. We obtain a global embedding of the 5D rotating black horizon surface into a flat space. We also describe the Kaluza-Klein reduction of the black ring solution (along the direction of its rotation) which relates this solution to the 4D metric of a static black hole distorted by the presence of external scalar (dilaton) and vector (`electromagnetic') field. The properties of the reduced black hole horizon and its embedding in $\E^3$ are briefly discussed.
arXiv comment10 pages, 9 figures, Revtex4
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Cited by in corpus (9)
- Black Holes in Higher Dimensions
- Distorted Five-dimensional Electrically Charged Black Holes
- Distorted 5-dimensional vacuum black hole
- Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
- Brane World Black Rings
- Five-dimensional vacuum Einstein spacetimes in C-metric like coordinates
- Novel accelerating Einstein vacua and smooth inhomogeneous Riemannian manifolds
- On M-theory on Real Toric Fibrations
- C-metric like vacuum with non-negative cosmological constant in five dimensions