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A note on teleparallel Killing vector fields in Bianchi type VIII and IX spaceben times in teleparallel theory of gravitation |
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| Authors: | Ghulam Shabbir Amjad Ali and Suhail Khan |
| Institution: | Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, Khyber Pukhtoonkhwa, Pakistan;Department of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pukhtoonkhwa, Pakistan;Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, Khyber Pukhtoonkhwa, Pakistan |
| Abstract: | In this paper we classify Bianchi type VIII and IX space—times according to their teleparallel Killing vector fields in the teleparallel theory of gravitation by using a direct integration technique. It turns out that the dimensions of the teleparallel Killing vector fields are either 4 or 5. From the above study we have shown that the Killing vector fields for Bianchi type VIII and IX space—times in the context of teleparallel theory are different from that in general relativity. |
| Keywords: | Weitzenbö ck geometry teleparallel theory of gravitation conservation laws |
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