标题： 宇宙弦在施瓦茨希尔德时空中的动力学 显示英文标题

标题： Dynamics of Cosmic Strings in Schwarzschild Spacetime

摘要： 宇宙弦是被认为在宇宙早期形成的拓扑缺陷。 如果此类物体存在，研究它们与黑洞的相互作用是有意义的。 宇宙弦的运动方程形式为高度非线性的波动方程。 除了在某些背景如平直和冲击波时空中的运动外，一般的解析解仍然未知；因此，大部分工作必须通过数值方法进行。 为此，开发了一种隐式有限差分方案，涉及求解大型块三对角系统。 本文讨论了数值方法，其与解析和半解析解的验证，以及宇宙弦与施瓦茨希尔德黑洞相互作用的初步结果。 显示英文摘要

摘要： Cosmic strings are topological defects thought to have formed early in the life of the universe. If such objects exist, a study of their interaction with black holes is of interest. The equations of motion of a cosmic string have the form of highly non-linear wave equations. General analytic solutions, except for motion in certain backgrounds such as flat and shockwave spacetimes, remain unknown; consequently, much of the work must be carried out numerically. To do this, an implicit finite difference scheme was developed that involves solving large block tridiagonal systems. This paper discusses the numerical method, its validation against analytic and semi-analytic solutions, and preliminary results on the interaction of a cosmic string with Schwarzschild black holes.