An approximate binary-black-hole metric

Details An approximate binary-black-hole metric An approximate binary-black-hole metric

1999-12-29

arxiv.org/abs/gr-qc/9912113v2

Phys.Rev. D61 (2000) 124013

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 1 figure; some changes in Sec. IV B,C and Sec. V

Scientific paper

10.1103/PhysRevD.61.124013

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric is presented in a single coordinate system valid up to the apparent horizons of the black holes. This metric could be useful in numerical simulations of binary black holes. Initial data extracted from this metric have the advantages of being linked to the early inspiral phase of the binary system, and of not containing spurious gravitational waves.

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