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Topology Change of Coalescing Black Holes on Eguchi-Hanson Space

Hideki Ishihara·Masashi Kimura·Shinya Tomizawa
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Abstract

We construct multi-black hole solutions in the five-dimensional Einstein-Maxwell theory with a positive cosmological constant on the Eguchi-Hanson space, which is an asymptotically locally Euclidean space. The solutions describe the physical process such that two black holes with the topology of S^3 coalesce into a single black hole with the topology of the lens space L(2;1)=S^3/Z_2. We discuss how the area of the single black hole after the coalescence depends on the topology of the horizon.

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Hideki Ishihara, Masashi Kimura, Shinya Tomizawa. 2006-11-04. Topology Change of Coalescing Black Holes on Eguchi-Hanson Space. https://doi.org/10.1088/0264-9381%2F23%2F24%2Fl02

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