Coalescence of Rotating Black Holes on Eguchi-Hanson Space
Abstract
We obtain new charged rotating multi-black hole solutions on the Eguchi-Hanson space in the five-dimensional Einstein-Maxwell system with a Chern-Simons term and a positive cosmological constant. In the two-black holes case, these solutions describe the coalescence of two rotating black holes with the spatial topologies of S3 into a single rotating black hole with the spatial topology of the lens space S3/Z2. We discuss the differences in the horizon areas between our solutions and the two-centered Klemm-Sabra solutions which describe the coalescence of two rotating black holes with the spatial topologies of S3 into a single rotating black hole with the spatial topology of S3.
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