整体抛物等距时空中的无质量宇宙弦
Massless Cosmic Strings in Spacetimes with Global Parabolic Isometries
摘要：
引入了一类具有整体抛物等距的弯曲时空。这些等距线在二维零曲面上有不动点集，可以解释为无质量宇宙弦的世界面。在这样的时空中，弦的反反应效应可以用世界面上的非平凡完整性来精确描述。我们证明了GPI时空是彼得罗夫分类的$N$型几何。我们描述了这些时空的一些特征，包括与GPI相关的Killing视界的性质。作为一个例子，我们考虑一个圆形的无质量的宇宙弦在德西特宇宙和目前的度量在新的坐标为中心的弦世界表。
英文摘要：
A class of curved spacetimes with global parabolic isometries (GPI) is introduced. These isometries have fixed point sets on two-dimensional null surfaces which can be interpreted as worldsheets of massless cosmic strings. Back reaction effects of the strings in such spacetimes can be described exactly, in terms of a nontrivial holonomy at the worldsheet. We show that the GPI spacetimes are type $N$ geometries of the Petrov classification. We describe a number of features of these spacetimes, including properties of Killing horizons associated to GPI. As an example, we consider a circular massless cosmic string in the de Sitter universe and present the metric in new coordinates centered at the string worldsheet.
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