标题： 对称轴上的测地线偏差在Taub-NUT度规中 显示英文标题

标题： Geodesic deviation on symmetry axis in Taub-NUT metric

摘要： 广义相对论的一个重要方面是研究测地线的性质。 描述测地线行为的有用工具是测地线偏离方程。 它可以通过时空曲率来描述引力物体的潮汐性质。 本文重点研究轴对称Taub-NUT度规。 我们使用测地线偏离方程研究该度规中的潮汐效应。 考虑沿时空对称轴的径向测地线。 我们证明了所有空间方向的潮汐力在事件视界下方始终改变符号。 我们找到了所有测地线偏离矢量分量的测地线偏离方程的解。 这使我们能够量化NUT电荷对Taub-NUT度规的潮汐性质的影响。 我们发现的另一个重要特性是所有潮汐力分量在时空所有点的行为都是规则的。 显示英文摘要

摘要： An important aspect of General Relativity is to study properties of geodesics. A useful tool for describing geodesic behavior is the geodesic deviation equation. It allows to describe the tidal properties of gravitating objects through the curvature of spacetime. This article focuses on the study of the axially symmetric Taub-NUT metric. We study tidal effects in this metric using the geodesic deviation equation. Radial geodesics along the symmetry axis of spacetime are considered. We show that all spatial components of tidal forces always change sign under the event horizon. We find a solution of the geodesic deviation equation for all geodesic deviation vector components. It allows us to quantify the effect of the NUT-charge on the tidal properties of Taub-NUT metric. And another important feature that we found is the regular behavior of all tidal force components at all points of spacetime.