线性Brill波和Teukolsky波的比较
Comparison of linear Brill and Teukolsky waves
摘要：
出于对真空引力波的引力坍缩中的临界现象的研究，我们在线性水平上比较了两种构造引力波初始数据的常用方法。具体而言，我们构建分析，线性布里尔波的初始数据，并将其与Teukolsky波进行比较，试图了解这两组不同数据的动态（非线性）演变中观察到的不同数值行为。一般来说，布里尔波确实具有比四极Teukolsky波更高的多极矩，这可能为两种波的动力学演化中观察到的差异提供了解释。然而，我们也发现，对于一个共同的选择的布里渊波种子函数，所有高阶矩消失相同，呈现（线性）布里渊初始数据令人惊讶地相似的Teukolsky数据的种子函数的一个类似的共同选择。
英文摘要：
Motivated by studies of critical phenomena in the gravitational collapse of vacuum gravitational waves we compare, at the linear level, two common approaches to constructing gravitational-wave initial data. Specifically, we construct analytical, linear Brill wave initial data and compare these with Teukolsky waves in an attempt to understand the different numerical behavior observed in dynamical (nonlinear) evolutions of these two different sets of data. In general, the Brill waves indeed feature higher multipole moments than the quadrupolar Teukolsky waves, which might have provided an explanation for the differences observed in the dynamical evolution of the two types of waves. However, we also find that, for a common choice of the Brill-wave seed function, all higher-order moments vanish identically, rendering the (linear) Brill initial data surprisingly similar to the Teukolsky data for a similarly common choice of its seed function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
