A Note on Classification of Cylindrically Symmetric Non-static Space-Times According to Their Teleparallel Killing Vector Fields in the Teleparallel Theory of Gravitation

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Autor principal: Ghulam Shabbir
Formato: Artículo científico
Lenguaje:en
Publicado: Sociedade Brasileira de Física 2011
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author Ghulam Shabbir
author_facet Ghulam Shabbir
contents A Note on Classification of Cylindrically Symmetric Non-static Space-Times According to Their Teleparallel Killing Vector Fields in the Teleparallel Theory of Gravitation Ghulam Shabbir Suhail Khan M. Jamil Amir Física, Astronomía y Matemáticas Torsion Conservation laws Weitzenböck geometry In this paper, we explored the conservation laws of cylindrically symmetric non-static space-times by using direct integration technique. This classification also covers non-static plane symmetric space-times, static cylindrically symmetric space-times and plane symmetric static space- times. In this paper, we will only present the results of nonstatic cylindrically symmetric and non-static plane symmetric space-times. The results of static cylindrically symmetric space-times and plane static space-times can be found in Shabbir and Khan (Mod Phys Lett A 25:525, 2010). It turns out that the non-static cylindrically symmetric space-times admit four, five, or seven conservation laws. It is important to note that the above space-times admit at least one or at the most four extra conservation laws. 2011 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46421602015 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2-3 Vol.41
format Artículo científico
id redalyc_46421602015
institution Redalyc
language en
publishDate 2011
publisher Sociedade Brasileira de Física
spellingShingle A Note on Classification of Cylindrically Symmetric Non-static Space-Times According to Their Teleparallel Killing Vector Fields in the Teleparallel Theory of Gravitation
Ghulam Shabbir
Física, Astronomía y Matemáticas
Torsion
Conservation laws
Weitzenböck geometry
A Note on Classification of Cylindrically Symmetric Non-static Space-Times According to Their Teleparallel Killing Vector Fields in the Teleparallel Theory of Gravitation Ghulam Shabbir Suhail Khan M. Jamil Amir Física, Astronomía y Matemáticas Torsion Conservation laws Weitzenböck geometry In this paper, we explored the conservation laws of cylindrically symmetric non-static space-times by using direct integration technique. This classification also covers non-static plane symmetric space-times, static cylindrically symmetric space-times and plane symmetric static space- times. In this paper, we will only present the results of nonstatic cylindrically symmetric and non-static plane symmetric space-times. The results of static cylindrically symmetric space-times and plane static space-times can be found in Shabbir and Khan (Mod Phys Lett A 25:525, 2010). It turns out that the non-static cylindrically symmetric space-times admit four, five, or seven conservation laws. It is important to note that the above space-times admit at least one or at the most four extra conservation laws. 2011 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46421602015 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2-3 Vol.41
title A Note on Classification of Cylindrically Symmetric Non-static Space-Times According to Their Teleparallel Killing Vector Fields in the Teleparallel Theory of Gravitation
topic Física, Astronomía y Matemáticas
Torsion
Conservation laws
Weitzenböck geometry
url https://www.redalyc.org/articulo.oa?id=46421602015