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25 April 2024
 
  » arxiv » gr-qc/0607110

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Energy Momentum Localization for Bianchi I-III-V-VI0 Universe in Teleparallel Gravity
Sezgin Aygun ; Melis Aygun ; Ismail Tarhan ;
Date 25 Jul 2006
AbstractIn this paper, considering the tele-parallel gravity versions of the Einstein, Bergmann-Thomson and Landau-Lifshitz energy-momentum prescriptions energy and momentum distribution of the universe based on the general Bianchi type I-III-V-VI0 universe and its transforms type I, III, V, VI0 metrics, respectively which includes both the matter and gravitational fields are found. We obtain that Einstein and Bergmann-Thomson definitions of the energy-momentum complexes give the same results, while Landau-Lifshitz’s energy-momentum definition does not provide same results for these type of metrics. This results are the same as a previous works of Aygun et al., the Authors investigate the same problem in general relativity by using the Einstein, Moller, Bergmann-Thomson, Landau-Lifshitz (LL) and Papapetrou’s definitions. Furthermore, we show that for the Bianci type-I and type-VIo all the formulations give the same result. These results supports the viewpoints of Banerjee-Sen, Xulu and Aydogdu-Salti. Another point is that our study agree with previous works of Cooperstock-Israelit, Rosen, Johri et al., Radinschi and Aygun et al. This paper indicates an important point that these energy-momentum definitions agree with each other not only in general relativity but also in tele-parallel gravity.
Source arXiv, gr-qc/0607110
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