Energy-momentum localization for Bianchi type-IV Universe in general relativity and teleparallel gravity


PRAMANA-JOURNAL OF PHYSICS, vol.78, no.4, pp.531-548, 2012 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1007/s12043-012-0261-1
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.531-548
  • Keywords: Bianchi type-IV Universe, energy-momentum localization, teleparallel gravity, BLACK-HOLE, GRAVITATIONAL ENERGY, TETRAD THEORY, DISTRIBUTIONS, EINSTEIN, DENSITY, MODELS, SYSTEM


In this study we have investigated the energy-momentum distributions for homogeneous and an isotropic 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 Moller in general relativity (GR) as also Einstein, Bergmann-Thomson, Landau-Lifshitz and Moller 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 TO but the Landau-Lifshitz, Papapetrou Tolman and Moller energy-momentum distributions do not provide the same results with Einstein and Bergmann-Thomson in OR and TG. Furthermore, Einstein, Bergmann-Thomson and LL results are the same in different gravitation theories and we get that both OR and TG are equivalent theories for these prescriptions. From the obtained solutions, we could say that these are equivalent theories. Also, Moller energy-momentum distributions do not give the same results in OR and TG. However, we have found that all energy prescriptions are negative and our results agree with Nester et al.