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General Relativity and Quantum Cosmology

arXiv:1608.01033v1 (gr-qc)
[Submitted on 2 Aug 2016 ]

Title: Spinning, Precessing, Black Hole Binary Spacetime via Asymptotic Matching

Title: 旋转的、进动的黑洞双星时空通过渐近匹配

Authors:Hiroyuki Nakano, Brennan Ireland, Manuela Campanelli, Eric J. West
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 by rotating the black hole spin direction according to the precessing equations of motion, in a way that is consistent with the global spacetime construction.
Abstract: 我们简要讨论一种方法,用于构建进动的、自旋的双黑洞的全局、解析的近似时空。 该时空的构建分为三部分:内区是接近每个黑洞的时空,由扰动的克尔解近似;近区远离两个黑洞,由后牛顿度规描述;最后是波(远)区,在该区域需要考虑延迟效应,由后闵可夫斯基度规很好地建模。 然后使用渐近匹配技术将这些单独的时空拼接在一起,以获得一个全局解,该解近似满足爱因斯坦场方程。 通过根据运动的进动方程旋转黑洞自旋方向来引入进动效应,这种方式与全局时空构建一致。
Comments: 9 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Astrophysics of Galaxies (astro-ph.GA); High Energy Astrophysical Phenomena (astro-ph.HE)
Cite as: arXiv:1608.01033 [gr-qc]
  (or arXiv:1608.01033v1 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.1608.01033
arXiv-issued DOI via DataCite
Related DOI: https://doi.org/10.1088/0264-9381/33/24/247001
DOI(s) linking to related resources

Submission history

From: Hiroyuki Nakano [view email]
[v1] Tue, 2 Aug 2016 23:54:02 UTC (10 KB)
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