English

Initial data for two Kerr-like black holes

General Relativity and Quantum Cosmology 2009-10-31 v1

Abstract

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. When the mass parameter of one of them is zero, this family reduces exactly to the Kerr initial data. The existence proof is based on a general property of the Kerr metric which can be used in other constructions as well. Further generalizations are also discussed.

Keywords

Cite

@article{arxiv.gr-qc/0012023,
  title  = {Initial data for two Kerr-like black holes},
  author = {Sergio Dain},
  journal= {arXiv preprint arXiv:gr-qc/0012023},
  year   = {2009}
}

Comments

revtex, 5 pages, no figures

R2 v1 2026-07-22T12:32:54.273Z