Spinning, precessing, black hole binary spacetime via asymptotic matching

Hiroyuki Nakano, Brennan Ireland, Manuela Campanelli, Eric J. West

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We briefly discuss a method to construct a global, analytic, approximate spacetime for precessing, spinning binary black holes. The spacetime construction is broken into three parts: the inner zones are the spacetimes close to each black hole, and are approximated by perturbed Kerr solutions; the near zone is far from the two black holes, and described by the post-Newtonian metric; and finally the wave (far) zone, where retardation effects need to be taken into account, is well modeled by the post-Minkowskian metric. These individual spacetimes are then stitched together using asymptotic matching techniques to obtain a global solution that approximately satisfies the Einstein field equations. Precession effects are introduced into the coordinate transformation from the inner to near zones according to the precessing equations of motion, in a way that is consistent with the global spacetime construction.

Original languageEnglish (US)
Article number247001
JournalClassical and Quantum Gravity
Volume33
Issue number24
DOIs
StatePublished - Nov 29 2016

Bibliographical note

Publisher Copyright:
© 2016 IOP Publishing Ltd.

Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

Keywords

  • binary black holes
  • perturbation theory
  • post-Newtonian approximation

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