Topology change of coalescing black holes on Eguchi–Hanson space

2006/09/30 by Hideki Ishihara, Masashi Kimura, Shinya Tomizawa · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1088/0264-9381/23/24/l02

published as Class.Quant.Grav.23:L89,2006 · 10 pages, Some comments are added. to be published as a letter in Classical and Quantum Gravity

arxiv created 2006/11/04 · openalex publication_date 2006/11/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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 . We discuss how the area of the single black hole after the coalescence depends on the topology of the horizon.

Citations

• A Class of Exact Solutions of Einstein's Field Equations
• Testing cosmic censorship with black hole collisions

Cited by

• Supersymmetric black rings on Eguchi–Hanson space
• Cosmological black holes on Taub–NUT space in five-dimensional Einstein–Maxwell theory