The Yamabe invariant for axially symmetric two Kerr black holes initial data
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0805.2754,
title = {The Yamabe invariant for axially symmetric two Kerr black holes initial data},
author = {Gastón A. Avila and Sergio Dain},
journal= {arXiv preprint arXiv:0805.2754},
year = {2008}
}
Comments
14 pages, 2 figures