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Journal Article

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

MPS-Authors

Dain,  Sergio
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg8_22_225002.pdf
(Publisher version), 180KB

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Citation

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.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-1387-4
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.