Geodesic equations for particles and light in the black spindle spacetime

被引：5

作者：

Flathmann, Kai ^{[1
]}

Wassermann, Noa ^{[1
]}

机构：

[1] Carl von Ossietzky Univ Oldenburg, Inst Phys, D-26111 Oldenburg, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 12期

关键词：

D O I：

10.1063/5.0011432

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we derive the geodesic equation for massive particles and light for the black spindle spacetime. The solution for light can be formulated in terms of the Weierstra ss -, sigma-, and zeta -function, whereas a part of the solutions for massive particles is given in terms of derivatives of the Kleinian sigma -function. We analyze the possible orbit types using parametric diagrams and effective potentials. Furthermore, we visualize the orbits in a coordinate system, where the spindle-like topology of the horizon is visible.

引用

页数：10

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