Geometric Engineering 5d Black Holes with Rod Diagrams
arXiv:0806.3389 · doi:10.1088/1126-6708/2008/09/004
Abstract
Static solutions of 5-dimensional gravity with two spatial Killing vectors are characterized by their rod structures. In this note we describe how the orbifold singularities and the topologies of the horizons and asymptotic regions can be determined from the corresponding rod diagrams. As an example we introduce the black lens, a static 5-dimensional black hole with a horizon of lens space topology which is asymptotically Minkowski space. The solution is novel in that the asymptotic Minkowski space is not quotiented. However it suffers from a naked singularity. While the conical and orbifold singularities have been removed, two spherical curvature singularities remain. These singularities do not contribute to the ADM mass, and the thermodynamics of the black lens is well behaved, although its entropy is lower than that of a Tangherlini black hole of the same mass.
29 pages, no figures, added ref and comment on discrete hair in asymptotic Taub-NUT and on L(p,q) horizons
References in corpus (10)
- Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
- Bicycling Black Rings
- Renormalization of Lorentz violating theories
- Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
- Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
- Weighted scale invariant quantum field theories
- New Black Holes in Five Dimensions
- Reduction without reduction: Adding KK-monopoles to five dimensional stationary axisymmetric solutions
- Black Saturn with dipole ring
- Magnetized static black Saturn
Cited by in corpus (29)
- New Horizons for Black Holes and Branes
- A supersymmetric black lens
- A rotating black lens solution in five dimensions
- Supergravity Solutions from Floating Branes
- A uniqueness theorem for stationary Kaluza-Klein black holes
- Supersymmetric black lenses in five dimensions
- On the uniqueness of extremal vacuum black holes
- Uniqueness theorem for charged dipole rings in five-dimensional minimal supergravity
- Black holes on gravitational instantons
- Domain Structure of Black Hole Space-Times
- Uniqueness Theorem for Black Hole Space-Times with Multiple Disconnected Horizons
- A stationary and biaxisymmetric four-soliton solution in five dimensions
- Moduli space of stationary vacuum black holes from integrability
- New construction of a charged dipole black ring by Harrison transformation
- Notes on maximal slices of five-dimensional black holes
- Vortices in (2+1)d Conformal Fluids
- Asymptotically flat multi-black lenses
- On the nonexistence of a vacuum black lens
- Multi-charged black lens
- On the Topology of Black Lenses
- Uniqueness of Black Holes with Bubbles in Minimal Supergravity
- Multi-Sheet Wormholes in the Gravitational Soliton Formalism
- Charged black lens in de Sitter space
- Thermodynamic black di-rings
- A Kaluza-Klein black lens in five dimensions
- Stationary Vacuum Black Holes in 5 Dimensions
- Black Lenses in Kaluza-Klein Matter
- The Surface Layers Dual to Hydrodynamic Boundaries
- Hidden symmetries in 5D supergravities and black rings