论文标题
Taub-nut公制中对称轴上的地球偏差
Geodesic deviation on symmetry axis in Taub-NUT metric
论文作者
论文摘要
一般相对论的一个重要方面是研究大地学的特性。描述地球行为的有用工具是地球偏差方程。它允许通过时空的曲率描述引力物体的潮汐特性。本文重点介绍了轴向对称的Taub-Nut度量的研究。我们使用大地偏差方程研究该指标中的潮汐效应。考虑了沿时空对称轴的径向测量学。我们表明，潮汐力的所有空间成分始终在事件范围内改变符号。我们找到了所有地球偏差矢量成分的大地偏差方程的解决方案。它使我们能够量化螺母电荷对taub-nut公制的潮汐特性的影响。我们发现的另一个重要特征是所有潮汐力成分在时空的所有点的常规行为。
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.
