Coalescence of Rotating Black Holes on Eguchi-Hanson Space
Ken Matsuno, Hideki Ishihara, Masashi Kimura, Shinya Tomizawa
TL;DR
This paper presents new charged rotating multi-black hole solutions on Eguchi-Hanson space, demonstrating black hole coalescence with topology change in a five-dimensional Einstein-Maxwell-Chern-Simons framework.
Contribution
It introduces novel solutions describing black hole coalescence on Eguchi-Hanson space with topology change, extending previous models in higher-dimensional gravity.
Findings
Black hole coalescence with topology change from S^3 to S^3/Z_2.
Differences in horizon areas compared to Klemm-Sabra solutions.
New charged rotating multi-black hole solutions in Einstein-Maxwell-Chern-Simons theory.
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 S^3 into a single rotating black hole with the spatial topology of the lens space S^3/Z_2. 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 S^3 into a single rotating black hole with the spatial topology of S^3.
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