标题： 运动学自相似局部旋转对称模型 显示英文标题

标题： Kinematic self-similar locally rotationally symmetric models

摘要： 对广义相对论中运动学自相似性的结果进行了简要总结。 重点在于允许运动学自相似向量的局部旋转对称模型。 提供了度规和运动学自相似向量的坐标表达式。 研究了完美流体模型的爱因斯坦场方程，并给出了所有允许最大四参数等距群的相似解。 显示英文摘要

摘要： A brief summary of results on kinematic self-similarities in general relativity is given. Attention is focussed on locally rotationally symmetric models admitting kinematic self-similar vectors. Coordinate expressions for the metric and the kinematic self-similar vector are provided. Einstein's field equations for perfect fluid models are investigated and all the homothetic perfect fluid solutions admitting a maximal four-parameter group of isometries are given.