A stationary and biaxisymmetric four-soliton solution in five dimensions
arXiv:1902.10544 · doi:10.1103/PhysRevD.99.104053
Abstract
Using the inverse scattering method to solve the five-dimensional vacuum Einstein equations, we construct an asymptotically flat four-soliton solution as a stationary and bi-axisymmetric solution. We impose certain boundary conditions on this solution so that it includes a rotating black hole whose horizon-cross section is topologically a lens space of L(2,1). The solution has nine parameters but three only is physically independent due to the constraint equations. The remaining degrees of freedom correspond to the mass and two independent angular momenta of the black hole. We analyze a few simple cases in detail, in particular, the static case with two zero-angular momenta and the stationary case with a single non-zero angular momentum.
arXiv comment23 pages, 10 figures
References in corpus (22)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- A rotating black ring in five dimensions
- All supersymmetric solutions of minimal supergravity in five dimensions
- Black Holes and Sub-millimeter Dimensions
- Generalized Weyl Solutions
- 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
- Black ring with two angular momenta
- On the topology and area of higher dimensional black holes
- New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness
- Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
- A supersymmetric black lens
- A rotating black lens solution in five dimensions
- A black ring with a rotating 2-sphere
- Vacuum solutions of five dimensional Einstein equations generated by inverse scattering method
- Solitonic generation of five-dimensional black ring solution
- Vaccum solutions of five-dimensional Einstein equations generated by inverse scattering method II : Production of black ring solution
- Supersymmetric black lenses in five dimensions
- Geometric Engineering 5d Black Holes with Rod Diagrams
- Further restrictions on the topology of stationary black holes in five dimensions
- Moduli space of supersymmetric solitons and black holes in five dimensions
Cited by in corpus (7)
- Moduli space of stationary vacuum black holes from integrability
- New construction of a charged dipole black ring by Harrison transformation
- On the nonexistence of a vacuum black lens
- Multi-charged black lens
- Bianchi IX geometry and the Einstein-Maxwell theory
- Multi-Sheet Wormholes in the Gravitational Soliton Formalism
- Black Lenses in Kaluza-Klein Matter