标题： 引力规范Higgs模型的弦状解的完全分类 显示英文标题

标题： Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model

摘要： 具有引力的阿贝尔-希格斯模型的静态柱对称解构成一个两参数族。 本文给出了该系统的弦状解的完整分类。 我们证明参数平面由两个不同的区域组成，其特征如下：一个区域内包含标准渐近圆锥形宇宙弦解以及另一种具有梅尔文型渐近行为的解。 另一个区域内包含两种具有有界径向扩展的解。 这两个区域之间的边界是最大角亏量曲线$2\pi$。 显示英文摘要

摘要： The static cylindrically symmetric solutions of the gravitating Abelian Higgs model form a two parameter family. In this paper we give a complete classification of the string-like solutions of this system. We show that the parameter plane is composed of two different regions with the following characteristics: One region contains the standard asymptotically conic cosmic string solutions together with a second kind of solutions with Melvin-like asymptotic behavior. The other region contains two types of solutions with bounded radial extension. The border between the two regions is the curve of maximal angular deficit of $2\pi$.