高维CCNV时空中的等距性
Isometries in higher dimensional CCNV spacetimes
摘要：
我们研究了一类高维Kundt度量承认一个协变常数零向量，称为CCNV时空。我们特别注意那些CCNV时空常数（多项式）曲率不变（CSI）。通过研究一般形式的CCNV度规的Killing方程，我们研究了CCNV时空中额外等距的存在性。特别是，我们列出所有CCNV时空允许一个额外的非类空等距的所有值的光锥坐标v，这是感兴趣的，由于在v的平移下的度量的不变性作为一个应用程序，我们使用我们的结果来找到所有CSI CCNV时空与一个额外的等距，以及这些时空的子集，其中等距是非类空的所有值v。
英文摘要：
We study the class of higher-dimensional Kundt metrics admitting a covariantly constant null vector, known as CCNV spacetimes. We pay particular attention to those CCNV spacetimes with constant (polynomial) curvature invariants (CSI). We investigate the existence of an additional isometry in CCNV spacetimes, by studying the Killing equations for the general form of the CCNV metric. In particular, we list all CCNV spacetimes allowing an additional non-spacelike isometry for all values of the lightcone coordinate v, which are of interest due to the invariance of the metric under a translation in v. As an application we use our results to find all CSI CCNV spacetimes with an additional isometry as well as the subset of these spacetimes in which the isometry is non-spacelike for all values v.
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