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Bianchi type-IV Universe; energy–momentum localization; teleparallel gravity.

In this study we have investigated the energy–momentum distributions for homogeneous and anisotropic Bianchi type-IV in B class Universe. For this purpose, we have used energy–momentum complexes of Einstein, Bergmann–Thomson, Landau–Lifshitz (LL), Papapetrou, Tolman and Møller in general relativity (GR) as also Einstein, Bergmann–Thomson, Landau–Lifshitz and Møller in teleparallel gravity (TG). From the obtained results we have found that Einstein and Bergmann–Thomson distributions are exactly giving the same results in GR and TG but the Landau–Lifshitz, Papapetrou Tolman and Møller energy–momentum distributions do not provide the same results with Einstein and Bergmann–Thomson in GR and TG. Furthermore, Einstein, Bergmann–Thomson and LL results are the same in different gravitation theories and we get that both GR and TG are equivalent theories for these prescriptions. From the obtained solutions, we could say that these are equivalent theories. Also, Møller energy–momentum distributions do not give the same results in GR and TG. However, we have found that all energy prescriptions are negative and our results agree with Nester et al.

Sezgin Aygün^{1 2} İsmail Tarhan^{1 2}

1. Department of Physics, Art and Science Faculty, Çanakkale Onsekiz Mart University, 17020 Çanakkale, Turkey
2. Çanakkale Onsekiz Mart University, Astrophysics Research Center, Çanakkale, Turkey

Published

April 2012

Manuscript received

17 June 2011

Manuscript revised

23 November 2011

Accepted

8 December 2011