New approach to solution generation using SL(2,R)-duality of a dimensionally reduced space in five-dimensional minimal supergravity and new black holes
arXiv:1106.3165 · doi:10.1103/PhysRevD.84.104009
Abstract
The dimensional reduction of (the bosonic sector of) five-dimensional minimal supergravity to four dimensions leads to a theory with a massless axion and a dilaton coupled to gravity and two U(1) gauge fields (one of which has Chern-Simons coupling), whose field equations have SL(2,R)-invariance. Utilizing this SL(2,R)-duality, we provide a new formalism for solution generation. As an example, applying it to the Rasheed solution, which are known to describe dyonic rotating black holes (from the four-dimensional point of view) of five-dimensional pure gravity, we obtain rotating Kaluza-Klein black hole solutions in five-dimensional minimal supergravity. We also show that the solutions have six charges: mass, angular momentum, Kaluza-Klein electric/magnetic charges and electric/magnetic charges of the Maxwell field, four of which are related by a constraint.
17 pages, a few references and comments added, to be published in PRD
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Cited by in corpus (14)
- General Kaluza-Klein black holes with all six independent charges in five-dimensional minimal supergravity
- Extremal Charged Black Holes with a Twisted Extra Dimension
- New construction of a charged dipole black ring by Harrison transformation
- Charged rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory
- Kaluza-Klein vacuum multi-black holes in five-dimensions
- "Flip" of SL(2,R)-duality in five-dimensional supergravity
- A simple diagnosis of non-smoothness of black hole horizon: Curvature singularity at horizons in extremal Kaluza-Klein black holes
- Asymptotically flat multi-black lenses
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- Charged black holes on the Taub-Bolt instanton
- A black ring on the Taub-bolt instanton in five dimensions
- Conserved charge of a gravity theory with -form gauge fields and its property under Kaluza-Klein reduction
- A Kaluza-Klein black lens in five dimensions
- On Dimensional Reduction of Magical Supergravity Theories