Asymptotically matched spacetime metric for non-precessing, spinning black hole binaries

Louis Gallouin, Hiroyuki Nakano, Nicolás Yunes, Manuela Campanelli

Research output: Contribution to journalArticlepeer-review


We construct a closed-form, fully analytical 4-metric that approximately represents the spacetime evolution of non-precessing, spinning black hole binaries from infinite separations up to a few orbits prior to merger. We employ the technique of asymptotic matching to join a perturbed Kerr metric in the neighborhood of each spinning black hole to a near-zone, post-Newtonian metric farther out. The latter is already naturally matched to a far-zone, post-Minkowskian metric that accounts for full temporal retardation. The result is a 4-metric that is approximately valid everywhere in space and in a small bundle of spatial hypersurfaces. Here we restrict our attention to quasi-circular orbits, but the method is valid for any orbital motion or physical scenario, provided an overlapping region of validity or buffer zone exists. A simple extension of such a metric will allow for future studies of the accretion disc and jet dynamics around spinning back hole binaries.

Original languageEnglish (US)
Article number235013
JournalClassical and Quantum Gravity
Issue number23
StatePublished - Dec 7 2012
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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