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arXiv 1409.3645astro-ph.GA
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旋转引力透镜:运动学方法

Rotating gravitational lenses: a kinematic approach

Steve Walters, Larry Forbes

摘要:

本文利用无质量粒子的Kerr测地线方程,导出了Boyer-Lindquist坐标系和笛卡尔坐标系下的加速度矢量。作为一种特殊情况,非旋转质量引起的史瓦西加速度在笛卡尔坐标系中有一种特别简单和优雅的形式。使用前向积分,这些方程被用来绘制焦散图案,由于一个系统组成的旋转质点与一个较小的非旋转行星。另外,识别对路径的一阶和二阶近似,这允许对路径、偏转角和行进时间延迟的快速近似。

英文摘要:

This paper uses the Kerr geodesic equations for massless particles to derive an acceleration vector in both Boyer-Lindquist and Cartesian coordinates. As a special case, the Schwarzschild acceleration due to a non-rotating mass has a particularly simple and elegant form in Cartesian coordinates. Using forward integration, these equations are used to plot the caustic pattern due to a system consisting of a rotating point mass with a smaller non-rotating planet. Additionally, first and second order approximations to the paths are identified, which allows for fast approximations of paths, deflection angles and travel-time delays.

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。

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