Uniqueness theorems for Kaluza-Klein black holes in five-dimensional minimal supergravity
arXiv:1007.1183 · doi:10.1103/PhysRevD.82.104047
Abstract
We show uniqueness theorems for Kaluza-Klein black holes in the bosonic sector of five-dimensional minimal supergravity. More precisely, under the assumptions of the existence of two commuting axial isometries and a non-degenerate connected event horizon of the cross section topology S^3, or lens space, we prove that a stationary charged rotating Kaluza-Klein black hole in five-dimensional minimal supergravity is uniquely characterized by its mass, two independent angular momenta, electric charge, magnetic flux and nut charge, provided that there does not exist any nuts in the domain of outer communication. We also show that under the assumptions of the same symmetry, same asymptotics and the horizon cross section of S^1\times S^2, a black ring within the same theory---if exists---is uniquely determined by its dipole charge and rod structure besides the charges and magnetic flux.
17 pages, 1 figuer
References in corpus (60)
- A rotating black ring in five dimensions
- All supersymmetric solutions of minimal supergravity in five dimensions
- D--branes and Spinning Black Holes
- General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
- A supersymmetric black ring
- General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
- A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
- Generalized Weyl Solutions
- Black Saturn
- Supersymmetric black rings and three-charge supertubes
- Stationary and Axisymmetric Solutions of Higher-Dimensional General Relativity
- The Rotating Dyonic Black Holes Of Kaluza-Klein Theory
- Uniqueness and non-uniqueness of static black holes in higher dimensions
- Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
- Bicycling Black Rings
- Uniqueness and non-uniqueness of static vacuum black holes in higher dimensions
- Black diring and infinite nonuniqueness
- Black Rings in Taub-NUT
- Charged Kerr-de Sitter Black Holes in Five Dimensions
- Symmetries of Higher Dimensional Black Holes
- Kaluza-Klein Black Holes with Squashed Horizons
- Non-supersymmetric black rings as thermally excited supertubes
- Black holes in Godel universes and pp-waves
- New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness
- Supersymmetric 4D Rotating Black Holes from 5D Black Rings
- Uniqueness Theorem of Static Degenerate and Non-degenerate Charged Black Holes in Higher Dimensions
- A boundary value problem for the five-dimensional stationary rotating black holes
- More on the Similarity between D=5 Simple Supergravity and M Theory
- 5D Black Rings and 4D Black Holes
- Orthogonal black di-ring solution
- generating technique for minimal D=5 supergravity and black rings
- A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
- Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
- Classification of Static Charged Black Holes in Higher Dimensions
- Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
- Boundary Value Problem for Black Rings
- On Discrete U-duality in M-theory
- Uniqueness Theorem for Static Black Hole Solutions of sigma-models in Higher Dimensions
- Uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity
- Rod-structure classification of gravitational instantons with U(1)xU(1) isometry
- On the Structure of Stationary and Axisymmetric Metrics
- Charged Rotating Kaluza-Klein Black Holes in Five Dimensions
- On the `Stationary Implies Axisymmetric' Theorem for Extremal Black Holes in Higher Dimensions
- Topological censorship for Kaluza-Klein space-times
- Uniqueness Theorem for Generalized Maxwell Electric and Magnetic Black Holes in Higher Dimensions
- Rotating Kaluza-Klein Multi-Black Holes with Godel Parameter
- Squashed Kerr-Godel Black Holes - Kaluza-Klein Black Holes with Rotations of Black Hole and Universe -
- Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background
- The Kerr-Newman-Godel Black Hole
- Improved generating technique for D=5 supergravities and squashed Kaluza-Klein Black Holes
- Uniqueness theorem for charged dipole rings in five-dimensional minimal supergravity
- Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation
- 5D Einstein-Maxwell solitons and concentric rotating dipole black rings
- Uniqueness theorem for stationary black hole solutions of σ-models in five dimensions
- Uniqueness Theorem for Static Dilaton U(1)^N Black Holes
- Black Saturn with dipole ring
- Uniqueness theorem for stationary black ring solution of -models in five dimensions
- On higher dimensional black holes with abelian isometry group
- Magnetized static black Saturn
- A Uniqueness theorem for black holes with Kaluza-Klein asymptotic in 5D Einstein-Maxwell gravity
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- General Kaluza-Klein black holes with all six independent charges in five-dimensional minimal supergravity
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- "Flip" of SL(2,R)-duality in five-dimensional supergravity
- Uniqueness of Black Holes with Bubbles in Minimal Supergravity
- A classification of supersymmetric Kaluza-Klein black holes with a single axial symmetry
- A Kaluza-Klein black lens in five dimensions