arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2109.14641gr-qcastro-ph.HEhep-th
收藏

框架拖拉:意义、神话和误解

Frame-dragging: meaning, myths, and misconceptions

L. Filipe O. Costa, José Natário

摘要:

最初与广义相对论科里奥利力一起引入,术语$\textit{frame-dragging}$今天与度量张量的非对角元素相关的过多效应相关联。它也经常是误解的主题,导致不正确的预测,甚至是不存在的影响。我们发现,有三个不同的水平的帧拖动对应于三个不同的重磁对象:重磁位1-形式,场,潮汐张量,其效果是独立的,有时相反。从这两种常用的类比中可以看出,与磁性的类比在适用的地方是强有力的,而流体拖曳的类比(尽管在第一层次中定性地有一些用处)一般来说是误导性的。常见的误解(如粘性类型的“身体拖动”)被揭穿。考虑的应用包括旋转圆柱体(刘易斯-外尔度规),克尔,克尔-纽曼和克尔-dS时空,被盘/环包围的黑洞,和二进制系统。

英文摘要:

Originally introduced in connection with general relativistic Coriolis forces, the term $\textit{frame-dragging}$ is associated today with a plethora of effects related to the off-diagonal element of the metric tensor. It is also frequently the subject of misconceptions leading to incorrect predictions, even of nonexistent effects. We show that there are three different levels of frame-dragging corresponding to three distinct gravitomagnetic objects: gravitomagnetic potential 1-form, field, and tidal tensor, whose effects are independent, and sometimes opposing. It is seen that, from the two analogies commonly employed, the analogy with magnetism holds strong where it applies, whereas the fluid-dragging analogy (albeit of some use, qualitatively, in the first level) is, in general, misleading. Common misconceptions (such as viscous-type "body-dragging") are debunked. Applications considered include rotating cylinders (Lewis-Weyl metrics), Kerr, Kerr-Newman and Kerr-dS spacetimes, black holes surrounded by disks/rings, and binary systems.

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。

↑