Topology Change of Coalescing Black Holes on Eguchi-Hanson Space
arXiv:hep-th/0609165 · doi:10.1088/0264-9381/23/24/L02
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.
arXiv comment10 pages, Some comments are added. to be published as a letter in Classical and Quantum Gravity
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