Proper Teleparallel Homothetic Vector Fields in General Cylindrically Symmetric Space-Times in Teleparallel Theory of Gravitation Using Diagonal Tetrads

被引：0

作者：

Ghulam Shabbir ^{[1
,2
]}

Masoom Ali Shahani ^{[1
]}

M.Amer Qureshi ^{[1
]}

F.M.Mahomed ^{[2
]}

机构：

[1] Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology

[2] School of Mathematics, University of the Witwatersrand

来源：

Communications in Theoretical Physics | 2017年 / 68卷 / 11期

基金：

新加坡国家研究基金会;

关键词：

proper teleparallel homothetic vector field; Weitzenbck geometry; Torsion;

D O I：

暂无

中图分类号：

O412.1 [相对论];

学科分类号：

070201 ;

摘要：

In this paper we consider the most general form of non-static cylindrically symmetric space-times in order to study proper teleparallel homothetic vector fields using the direct integration technique and diagonal tetrads. This study also covers static cylindrically symmetric, Bianchi type I, non-static and static plane symmetric space-times as well. Here, we will only discuss the cases which do not fall in the category of static cylindrically symmetric, Bianchi type Ⅰ, non-static and static plane symmetric space-times. From the above study we show that very special classes of the above space-times yield 6, 7 and 8 teleparallel homothetic vector fields with non-zero torsion.

引用

页码：611 / 616

页数：6