Phys. Rev. D 61, 124013 (2000) [19 pages]Approximate binary-black-hole metricReceived 30 December 1999; published 23 May 2000 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.124013
DOI:
10.1103/PhysRevD.61.124013
PACS:
04.25.Nx, 04.30.Db, 04.70.-s
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