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

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

2008-05-18

arxiv.org/abs/0805.2754v1

Class.Quant.Grav.25:225002,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 2 figures

Scientific paper

10.1088/0264-9381/25/22/225002

An explicit 3-dimensional Riemannian metric is constructed which can be interpreted as the (conformal) sum of two Kerr black holes with aligned angular momentum. When the separation distance between them is large we prove that this metric has positive Ricci scalar and hence positive Yamabe invariant. This metric can be used to construct axially symmetric initial data for two Kerr black holes with large angular momentum.

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