Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
High Energy Physics - Theory
2009-11-11 v3
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.
Cite
@article{arxiv.hep-th/0605030,
title = {Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory},
author = {Hideki Ishihara and Masashi Kimura and Ken Matsuno and Shinya Tomizawa},
journal= {arXiv preprint arXiv:hep-th/0605030},
year = {2009}
}
Comments
8 pages, to be published in Classical and Quantum Gravity