Simulation of binary black hole spacetimes with a harmonic evolution scheme
Simulation of binary black hole spacetimes with a harmonic evolution scheme
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用调和演化方案模拟二元黑洞时空
DOI：
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发表时间：
2006
期刊：
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通讯作者：
F. Pretorius
中科院分区：
文献类型：
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作者：
F. Pretorius
本文介绍了基于广义调和坐标的爱因斯坦场方程的一种数值求解方案，着重讨论了文献中没有提供的与双黑洞问题特别相关的细节。这包括演示约束阻尼的有效性，以及如何通过使用源函数演化方程来控制时间切片。此外，一些正在进行的研究的二元黑洞合并，黑洞通过标量场崩溃形成的结果，显示。标量场为探索黑洞相互作用的某些方面提供了一条方便的途径，从这项早期研究中得出的一个有趣但试探性的建议是，在粒子轨道中让人联想到“zoom-whirl”轨道的行为也存在于等质量非旋转双星的合并中，并适当微调初始条件。
A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details which are not provided before in the literature and which are of particular relevance to the binary black hole problem. This includes demonstrations of the effectiveness of constraint damping, and how the time slicing can be controlled through the use of a source function evolution equation. In addition, some results from an ongoing study of binary black hole coalescence, where the black holes are formed via scalar field collapse, are shown. Scalar fields offer a convenient route to exploring certain aspects of black hole interactions, and one interesting though tentative suggestion from this early study is that behaviour reminiscent of ‘zoom-whirl’ orbits in particle trajectories is also present in the merger of equal mass, non-spinning binaries, with appropriately fine-tuned initial conditions.