论文标题
脐带同步空间时间的特征
Characterizations Of Umbilically Synchronized Space-times
论文作者
论文摘要
我们研究了脐带同步的空间时间$ m $，它们在Weyl张量的一部分中消失了，并表明（i）如果$ dim（m）= 4 $，则$ m $是合成的，（ii）如果$ dim（m）> 4 $，$ m $，$ m $在同类的slices slates self stormal as flat flat flat flats中。接下来，我们表征了脐带同步的空间，该空间是真空的，其Weyl张量的电动组件为零。最后，我们表征了脐带同步时空的共形矢量场。
We study umbilically synchronized space-times $M$ that have vanishing electric part of the Weyl tensor and show that (i) If $dim(M) = 4$, then $M$ is conformally flat, (ii) If $dim(M) > 4$, $M$ is conformally flat if and only if the spatial slices are conformally flat. Next, we characterize umbilically synchronized spacetimes that are vacuum and have zero electric components of its Weyl tensor. Finally, we characterize conformal vector fields of an umbilically synchronized space-time.
