Evolution of a family of expanding cubic black-hole lattices in numerical relativity
Evolution of a family of expanding cubic black-hole lattices in numerical relativity
复制标题
数值相对论中一族膨胀立方黑洞晶格的演化
DOI：
10.1088/0264-9381/30/23/235008
复制
发表时间：
2013
影响因子：
3.5
通讯作者：
Mikołaj Korzyński
中科院分区：
文献类型：
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作者：
E. Bentivegna;Mikołaj Korzyński
我们提出了一个家庭的共形平坦的，无限的，扩大立方黑洞晶格的数值演化。我们解决的初始数据，使用最近提出的初始数据处方，沿着一个新的多重网格求解器为此目的而开发。然后，我们应用数值相对论的标准工具来计算这个初始数据集的时间发展，并推导出宇宙学相关性的数量，例如适当长度的缩放。类似于S3晶格的情况下，我们发现，长度标度保持接近的Friedmann-Lemaintre-Robertson-步行者宇宙学的解析解在我们的模拟，其中跨越一个窗口的规模因子的增长约一个数量级。然而，我们强调了弗里德曼-勒马特-罗伯逊-步行者类的一些重要偏离。
We present the numerical evolution of a family of conformally-flat, infinite, expanding cubic black-hole lattices. We solve for the initial data using an initial-data prescription presented recently, along with a new multigrid solver developed for this purpose. We then apply the standard tools of numerical relativity to calculate the time development of this initial dataset and derive quantities of cosmological relevance, such as the scaling of proper lengths. Similarly to the case of S3 lattices, we find that the length scaling remains close to the analytical solution for Friedmann–Lemaître–Robertson–Walker cosmologies throughout our simulations, which span a window of about one order of magnitude in the growth of the scale factor. We highlight, however, a number of important departures from the Friedmann–Lemaître–Robertson–Walker class.