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arXiv 1504.00286gr-qcastro-ph.GAastro-ph.HE
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令人鼓舞的黑洞二元时空：从分析技术向数值技术过渡的挑战

Inspiraling black-hole binary spacetimes: Challenges in transitioning from analytical to numerical techniques

Yosef Zlochower, Hiroyuki Nakano, Bruno C. Mundim, Manuela Campanelli, Scott Noble, Miguel Zilhao

备注：
Accepted for publication in PRD, 14 pages, 21 figures, revtex 4-1
发表信息：
Phys. Rev. D 93, 124072 (2016)
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摘要：

我们探讨了如何最近开发的解析黑洞二元时空可以扩展使用数值模拟超越缓慢inspiral阶段。解析时空近似地解出了爱因斯坦场方程，近似误差随着双星的分离而逐渐变小。为了让时空继续超越缓慢螺旋阶段，我们需要跃迁。这种转变以前曾在较小的分离下进行过探索。在这里，我们在D=20M的间隔（足够大，分析度量预计是准确的）进行这种转变，并演变为六个轨道。我们发现，小的约束违规可以有很大的动力学效应，但这些可以通过使用一个约束阻尼系统，如Z4系统的共形协变公式。我们发现随后的数值时空和预测的后牛顿理论的波形和inspiral率是在后牛顿截断误差之间的协议。

英文摘要：

We explore how a recently developed analytical black-hole binary spacetime can be extended using numerical simulations to go beyond the slow-inspiral phase. The analytic spacetime solves the Einstein field equations approximately, with the approximation error becoming progressively smaller the more separated the binary. To continue the spacetime beyond the slow-inspiral phase, we need to transition. Such a transition was previously explored at smaller separations. Here, we perform this transition at a separation of D=20M (large enough that the analytical metric is expected to be accurate), and evolve for six orbits. We find that small constraint violations can have large dynamical effects, but these can be removed by using a constraint-damping system like the conformal covariant formulation of the Z4 system. We find agreement between the subsequent numerical spacetime and the predictions of post-Newtonian theory for the waveform and inspiral rate that is within the post-Newtonian truncation error.

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