论文标题
几何形状，保形杀死-yano张量和保守的“电流”
Geometry, conformal Killing-Yano tensors and conserved "currents"
论文作者
论文摘要
在本文中，我们讨论了涉及保守的张量（电流）涉及共形杀伤YANO TENSOR（CKYTS）的构建，从而概括了杀死Yano Tensors（KYTS）的相应构建体。作为为此的有用准备，但也具有内在兴趣，我们得出了与CKYT和几何数量有关的身份。还给出了在保形转换下的CKYT的行为，从而纠正了文献中的公式。然后，我们使用得出的身份来构建协变量的``电流''。我们发现了几种新的CKYT电流，还包括Penrose已知的CKYT电流，该电流表明``琐事''电流也很有用。我们进一步发现，基于排名的排名-n $ ckyts $ k $必须具有$ dk $的简单表格。通过构造，这些电流是在公制的一般形式重新缩放下的协变量。然后使用Kerr-Newman和C-Metric在四个维度上说明电流如何导致保守的电荷。另外，我们研究了排名1电流，构建其电荷并讨论了其与Kerr-Newman Black Hole最近建造的棉电流的关系。
In this paper we discuss the construction of conserved tensors (currents) involving conformal Killing-Yano tensors (CKYTs), generalising the corresponding constructions for Killing-Yano tensors (KYTs). As a useful preparation for this, but also of intrinsic interest, we derive identities relating CKYTs and geometric quantities. The behaviour of CKYTs under conformal transformations is also given, correcting formulae in the literature. We then use the identities derived to construct covariantly conserved ``currents''. We find several new CKYT currents and also include a known one by Penrose which shows that ``trivial'' currents are also useful. We further find that rank-$n$ currents based on rank-$n$ CKYTs $k$ must have a simple form in terms of $dk$. By construction, these currents are covariant under a general conformal rescaling of the metric. How currents lead to conserved charges is then illustrated using the Kerr-Newman and the C-metric in four dimensions. Separately, we study a rank-1 current, construct its charge and discuss its relation to the recently constructed Cotton current for the Kerr-Newman black hole.
