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Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads
Muhammad Amer Qureshia, Ghulam Shabbirb, K. S. Mahomedc, Taha Azizd
- aPYP-Mathematics Department, College of General Studies, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
- bFaculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, KPK, Pakistan
- cSchool of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa
- dDepartment of Mathematics, Dammam Community College, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
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Abstract
We study proper teleparallel conformal vector fields in spherically symmetric static spacetimes. The main objective of this paper is to present the classification for the above-mentioned spacetimes. The problem has been examined by two methods: direct integration technique and diagonal tetrads. We show that the spherically symmetric static spacetimes do not admit proper teleparallel conformal vector field, so are actually the teleparallel killing vector fields.