Multi-centered rotating black holes in Kaluza-Klein theory
arXiv:2311.17730 · doi:10.1103/PhysRevD.109.044054
Abstract
The most general charged and rotating black hole in Kaluza-Klein theory is known to be described by the Rasheed-Larsen solution. When the under-rotating extremal limit of this solution is taken, it falls into a general class of solutions of Kaluza-Klein theory found by Clément, and is specified by two harmonic functions on a three-dimensional flat base space. We use this fact to generalise the single extremal black hole solution to one describing an arbitrary superposition of such black holes. These black holes carry non-zero electric and magnetic charges, which we set to be equal for simplicity, and are in general rotating with parallel or anti-parallel spin vectors. It is checked that the space-time outside the black holes is free of pathologies such as naked singularities and closed time-like curves.
arXiv comment19 pages, more details added to Sec. 4, published version
References in corpus (10)
- Supergravity flows and D-brane stability
- Exact solutions for supersymmetric stationary black hole composites
- On the Unification Problem in Physics
- The Rotating Dyonic Black Holes Of Kaluza-Klein Theory
- Rotating Kaluza-Klein Black Holes
- Holographic Duals of Kaluza-Klein Black Holes
- Statistical Description of Rotating Kaluza-Klein Black Holes
- Stationary Dilatons with Arbitrary Electromagnetic Field
- Kaluza-Klein vacuum multi-black holes in five-dimensions
- BPS Force Balances via Spin-Spin Interactions