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

Louis Gallouin, Hiroyuki Nakano, Nicolás Yunes, Manuela Campanelli

Research output: Contribution to journalArticle

Abstract

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
Volume29
Issue number23
DOIs
StatePublished - Dec 7 2012
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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