Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory

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.

8 pages, to be published in Classical and Quantum Gravity

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• Charged Black Holes in a Rotating Gross-Perry-Sorkin Monopole Background
• Topology Change of Coalescing Black Holes on Eguchi-Hanson Space
• Hawking Radiation from Squashed Kaluza-Klein Black Holes -- A Window to Extra Dimensions --
• Charged Rotating Kaluza-Klein Black Holes Generated by G2(2) Transformation
• Cosmological Black Holes on Taub-NUT space in Five-Dimensional Einstein-Maxwell Theory
• Rotating Black Holes on Kaluza-Klein Bubbles
• Supersymmetric Black Rings on Eguchi-Hanson Space
• Multi-Black Rings on Eguchi-Hanson Space
• Analyticity of Event Horizons of Five-Dimensional Multi-Black Holes with Non-Trivial Asymptotic Structure
• A note on Klein-Gordon equation in a generalized Kaluza-Klein monopole background