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  The Yamabe invariant for axially symmetric initial data of two Kerr black holes

Avila, G. A., & Dain, S. (2008). The Yamabe invariant for axially symmetric initial data of two Kerr black holes. Classical and quantum gravity, 25(22): 225002. doi:10.1088/0264-9381/25/22/225002.

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Avila, Gaston A.1, Author
Dain, Sergio2, Author
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1External Organizations, ou_persistent22              
2Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24012              

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 Abstract: An explicit three-dimensional Riemannian metric is constructed which can be interpreted as the (conformal) sum of two Kerr black holes with aligned angular momenta. When the separation distance between them is large we prove that this metric has a positive Ricci scalar and hence a positive Yamabe invariant. This metric can be used to construct axially symmetric initial data for two Kerr black holes with large total angular momentum.

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 Dates: 2008-10-23
 Publication Status: Published online
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 Rev. Type: Peer
 Identifiers: DOI: 10.1088/0264-9381/25/22/225002
eDoc: 398297
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Title: Classical and quantum gravity
Source Genre: Journal
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Pages: - Volume / Issue: 25 (22) Sequence Number: 225002 Start / End Page: - Identifier: ISSN: 0264-9381