Proper Teleparallel Homothetic Vector Fields in General Cylindrically Symmetric Space-Times in Teleparallel Theory of Gravitation Using Diagonal Tetrads. (November 2017)

• Record Type: Journal Article
• Authors: Shabbir, Ghulam; Ali Shahani, Masoom; Amer Qureshi, M.; Mahomed, F. M.
• Is Part Of: Communications in theoretical physics. Volume 68:Number 5(2017:Nov.)
• Publication Date: 2017-11
• Subjects: proper teleparallel homothetic vector field -- Weitzenbck geometry -- Torsion; 04.20.-q -- 04.20.Jb; Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/68/5/611
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: 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.