Initial data for two Kerr-like black holes

Details Initial data for two Kerr-like black holes Initial data for two Kerr-like black holes

2000-12-06

arxiv.org/abs/gr-qc/0012023v1

Phys.Rev.Lett. 87 (2001) 121102

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

revtex, 5 pages, no figures

Scientific paper

10.1103/PhysRevLett.87.121102

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.

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