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Inspiralling, nonprecessing, spinning black hole binary spacetime via asymptotic matching

Brennan Ireland
(
- New York Inst. Tech., Old Westbury and
- Rochester Inst. Tech.
)
,
Bruno C. Mundim
(
- Frankfurt U.
)
,
Hiroyuki Nakano
(
)
,
Manuela Campanelli
(
- New York Inst. Tech., Old Westbury and
- Rochester Inst. Tech.
)

Dec 17, 2015

21 pages

Published in:

Phys.Rev.D 93 (2016) 10, 104057

Published: May 27, 2016

e-Print:

1512.05650 [gr-qc]

DOI:

10.1103/PhysRevD.93.104057

View in:

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Abstract: (APS)

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of nonprecessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution of the vacuum Einstein’s equations can be obtained by asymptotically matching perturbed Kerr solutions near the two black holes to a post-Newtonian metric valid far from the two black holes. This metric is then matched to a post-Minkowskian metric even farther out in the wave zone. The procedure of asymptotic matching is generalized to be valid on all spatial hypersurfaces, instead of a small group of initial hypersurfaces discussed in previous works. This metric is well suited for long term dynamical simulations of spinning black hole binary spacetimes prior to merger, such as studies of circumbinary gas accretion which requires hundreds of binary orbits.

Note:

21 pages, 15 figures, revtex 4.1

04.25.Nx
04.70.Bw
black hole: binary
binary: orbit
Einstein equation: vacuum
gas: accretion
space-time
numerical calculations
black hole: Kerr

References(90)

Figures(16)

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