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

被引:16
作者
Ireland, Brennan [1 ,2 ]
Mundim, Bruno C. [3 ]
Nakano, Hiroyuki [1 ,2 ,4 ]
Campanelli, Manuela [1 ,2 ]
机构
[1] Rochester Inst Technol, Ctr Computat Relat & Gravitat, Sch Math Sci, Rochester, NY 14623 USA
[2] Rochester Inst Technol, Sch Phys & Astron, Rochester, NY 14623 USA
[3] Goethe Univ Frankfurt, Inst Theoret Phys, Max von Laue Str 1, D-60438 Frankfurt, Germany
[4] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
基金
美国国家科学基金会;
关键词
GRAVITATIONAL-RADIATION; METRIC PERTURBATIONS; ACCRETION; EQUATIONS; ALIGNMENT; SYSTEMS; MERGERS; FIELD;
D O I
10.1103/PhysRevD.93.104057
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
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页数:21
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