Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
Hideki Ishihara, Masashi Kimura, Ken Matsuno, Shinya Tomizawa
TL;DR
This paper constructs and analyzes multi-black hole solutions in five-dimensional Einstein-Maxwell theory with Kaluza-Klein geometry, revealing diverse horizon topologies and variable nut-charges.
Contribution
It introduces new multi-black hole solutions on Gibbons-Hawking spaces with variable nut-charges and diverse horizon topologies, expanding understanding of higher-dimensional black holes.
Findings
Nut-charges can vary independently due to black holes.
Horizon topologies include lens spaces L(n;1).
Solutions exhibit unique geometric properties.
Abstract
We construct the Kaluza-Klein multi-black hole solutions on the Gibbons-Hawking multi-instanton space in the five-dimensional Einstein-Maxwell theory. We study geometric properties of the multi-black hole solutions. In particular, unlike the Gibbons-Hawking multi-instanton solutions, each nut-charge is able to take a different value due to the existence of black hole on it. The spatial cross section of each horizon can be admitted to have the topology of a different lens space L(n;1)=S^3/Z_n addition to S^3.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.