标题： 旋转对称时空的扰动协变方法 显示英文标题

标题： A covariant approach for perturbations of rotationally symmetric spacetimes

摘要： 我们提出了一种爱因斯坦场方程的协变分解，该分解特别适用于球对称以及一般局部旋转对称时空的微扰。 基于1+3协变方法在宇宙学微扰理论中的实用性，这里提出的半张量1+1+2方法应该有助于以协变和规范不变的方式分析各种系统的微扰。 这些应用范围包括恒星物体以及如球对称的Lemaitre-Tolman-Bondi解或局部旋转对称的Bianchi模型类等宇宙学模型。 显示英文摘要

摘要： We present a covariant decomposition of Einstein's Field Equations which is particularly suitable for perturbations of spherically symmetric -- and general locally rotationally symmetric -- spacetimes. Based upon the utility of the 1+3 covariant approach to perturbation theory in cosmology, the semi-tetrad, 1+1+2 approach presented here should be useful for analysing perturbations of a variety of systems in a covariant and gauge-invariant manner. Such applications range from stellar objects to cosmological models such as the spherically symmetric Lemaitre-Tolman-Bondi solutions or the class of locally rotationally symmetric Bianchi models.