Classification of Teleparallel Homothetic Vector Fields in Cylindrically Symmetric Static Space-Times in Teleparallel Theory of Gravitation

• 来源期刊: 理论物理通讯(英文版)
• 学科: 数学
• 关键词: 静态空间 向量场 柱对称 平移 引力理论 分类 广义相对论 闵可夫斯基
• 年，卷（期）: 2010,（10）
• 页码范围: 675-678
• 页数: 4页
• 分类号: O175.1 TU238.2
• 语种: 英文

摘要

In this paper we classify cylindrically symmetric static space-times according to their teleparallel homotheticvector fields using direct integration technique.It turns out that the dimensions of the teleparallel homothetic vectorfields are 4, 5, 7 or 11, which are the same in numbers as in general relativity.In case of 4, 5 or 7 proper teleparallelhomothetic vector fields exist for the special choice to the space-times.In the case of 11 teleparallel homothetic vectorfields the space-time becomes Minkowski with all the zero torsion components.Teleparallel homothetic vector fields inthis case are exactly the same as in general relativity.It is important to note that this classification also covers the planesymmetric static space-times.