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  Approximate black hole binary spacetime via asymptotic matching

Mundim, B. C., Nakano, H., Yunes, N., Campanelli, M., Noble, S. C., & Zlochower, Y. (2014). Approximate black hole binary spacetime via asymptotic matching. Physical Review D, 89: 084008. doi:10.1103/PhysRevD.89.084008.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-001A-1152-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-001A-1154-7
Genre: Journal Article

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1312.6731.pdf (Preprint), 2MB
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 Creators:
Mundim, Bruno C.1, Author
Nakano, Hiroyuki, Author
Yunes, Nicolás, Author
Campanelli, Manuela, Author
Noble, Scott C., Author
Zlochower, Yosef, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is constructed by asymptotically matching perturbed Schwarzschild metrics near each black hole to a two-body post-Newtonian metric far from them, and a two-body post-Minkowskian metric farther still. Asymptotic matching is done without linearizing about a particular time slice, and thus it is valid dynamically and for all times, provided the binary is sufficiently well separated. This approximate global metric can be used for long dynamical evolutions of relativistic magnetohydrodynamical, circumbinary disks around inspiraling supermassive black holes to study a variety of phenomena.

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 Dates: 2013-12-232014-05-102014
 Publication Status: Published in print
 Pages: 17 pages, 8 figures, 1 table. Appendix added to match published version
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1312.6731
DOI: 10.1103/PhysRevD.89.084008
URI: http://arxiv.org/abs/1312.6731
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 89 Sequence Number: 084008 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258