标题： 弯曲宇宙弦上的引力透镜理论 显示英文标题

标题： Theory of gravitational lensing on a curved cosmic string

摘要： 详细讨论了相对于视线方向具有任意形状和位置的单个宇宙弦（CS）的完整数学模型。 CS 是一维扩展物体，现代宇宙学肯定会预测其存在。 CS 的存在会改变宇宙的全局几何结构，可以解释早期宇宙的特性，包括暴胀模型，并可能作为高维理论的独特证据。 尽管 CS 尚未被可靠地检测到，但有几个独立的强烈迹象表明 CS 的存在，这些迹象基于 CMB 分析以及具有特殊性质的引力透镜链的搜索。 然而，早期考虑的直线 CS 模型仅代表了可观察到的通用 CS 配置的一小部分。 现在我们提出一个模型，该模型可以显著增加 CS 观测搜索的可能性。 考虑到更现实的模型必须包含 CS 的倾斜和弯曲。 此外，最近对寻找引力透镜候选体的观测数据的分析显示，有大量的对可能由 CS 的复杂几何结构解释。 显示英文摘要

摘要： It is discussed in detail the complete mathematical model of gravitational lensing on a single cosmic string (CS) of general shape and position with respect to the line of sight. CS are one-dimensional extended objects assuredly predicted by modern cosmology. The presence of CS changes the global geometry of the Universe, could clarify the properties of the early Universe, including inflation models, and could serve as a unique proof of higher-dimensional theories. Despite the fact that CS have not yet been reliable detected, there are several strong independent indications of the existence of the CS, based of CMB analysis and search of gravitational lens chains with special properties. However, early considered models of straight CS presented only a small fraction of the general CS-configurations to be observed. Now we propose model which could significantly increase the possibilities of CS observational search. It is considered more realistic models have necessarily include the inclinations and bends of the CS. Besides, the recent analysis of observational data on the search for gravitational-lens candidates, shows a large number of pairs that could be explained by the complex geometry of the CS.