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A Note on Classification of Teleparallel Conformal Vector Fields in Cylindrically Symmetric Static Space-Times in the Teleparallel Theory of Gravitation

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Abstract

In this paper we explored teleparallel conformal vector fields in cylindrically symmetric static space-times in the teleparallel theory of gravitation by using the direct integration technique. It turns out that the dimension of teleparallel conformal vector fields are 8, 9, 10 or 11. The case VI in which the space-time becomes conformally flat admits eleven independent teleparallel conformal vector fields.

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Authors and Affiliations

  1. Faculty of Engineering Sciences, GIK Institute of Engineering Sciences and Technology, Topi, Swabi, Khyber Pakhtunkhwa, Pakistan

    Ghulam Shabbir, Alamgeer Khan & Suhail Khan

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  1. Ghulam Shabbir
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  2. Alamgeer Khan
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  3. Suhail Khan
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Correspondence to Ghulam Shabbir.

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Shabbir, G., Khan, A. & Khan, S. A Note on Classification of Teleparallel Conformal Vector Fields in Cylindrically Symmetric Static Space-Times in the Teleparallel Theory of Gravitation. Int J Theor Phys 52, 1182–1187 (2013). https://doi.org/10.1007/s10773-012-1434-x

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  • DOI: https://doi.org/10.1007/s10773-012-1434-x

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