论文标题
单个固定网格上的II型临界崩溃：量规驱动的ingoing边界方法
Type II critical collapse on a single fixed grid: a gauge-driven ingoing boundary method
论文作者
论文摘要
我们开发了一种数值方法，适用于基于cauchy进化的重力塌陷，并具有ingoing特征边界。与最近提出的类似方法（Ripley； Bieri，Garfinkle＆Yau 2019/20）不同，数值网格在演变过程中保持固定，无需删除或添加点。随着场地崩溃，仅通过选择空间规，尤其是其边界条件来实现中央区域的坐标改进。我们将此方法应用于使用最大切片和各向同性坐标的球形对称性中无质量标量场的临界崩溃。使用这种相当简单的数值方法复制了有关质量缩放，离散自相似性和关键解决方案的普遍性的已知结果（Choptuik 1993）。
We develop a numerical method suitable for gravitational collapse based on Cauchy evolution with an ingoing characteristic boundary. Unlike similar methods proposed recently (Ripley; Bieri, Garfinkle & Yau 2019/20), the numerical grid remains fixed during the evolution and no points need to be removed or added. Increasing coordinate refinement of the central region as the field collapses is achieved solely through the choice of spatial gauge and particularly its boundary condition. We apply this method to study critical collapse of a massless scalar field in spherical symmetry using maximal slicing and isotropic coordinates. Known results on mass scaling, discrete self-similarity and universality of the critical solution (Choptuik 1993) are reproduced using this considerably simpler numerical method.
