论文标题
$ PP $ - 波的初始数据
$pp$-wave initial data
论文作者
论文摘要
真空$ PP $ -Wave空间的初始数据表征在维度四。这是一个真空初始数据集以及一些额外的条件，确保数据开发是真空$ pp $ - 波的子集。一些额外的条件仅取决于用于构建真空初始数据的相同数量，即第一种和第二个基本形式，而另一些则与共形杀死初始数据表征（CKID）有关。
An initial data characterization for vacuum $pp$-wave spacetimes in dimension four is constructed. This is a vacuum initial data set plus some extra conditions guaranteeing that the data development is a subset of a vacuum $pp$-wave. Some of the extra conditions only depend on the same quantities used to construct the vacuum initial data, namely the first and the second fundamental forms while others are related to a conformal Killing initial data characterization (CKID).
