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Energy-momentum distributions of Ruban Universe in general relativity and teleparallel gravity.(English)Zbl 1411.83141

Summary: In this study, we obtain Einstein, Bergmann-Thomson (BT), Landau-Lifshitz (LL), Møller, Papapetrou (PP) and Tolman energy-momentum (EM) distributions for Ruban universe model in general relativity (GR) and teleparallel gravity (TG). We obtain same results for Einstein, Bergmann-Thomson and Landau-Lifshitz energy-momentum distributions in GR and TG. Also, we get same results for Einstein and Tolman energy-momentum distributions in GR. The Møller energy-momentum results are different in GR and TG. Also, using Ruban universe model, we obtain LRS Bianchi type I solutions and we get zero energy-momentum results for this universe model in GR and TG. These results of LRS Bianchi type I universe model agree with Aygün et al., Taşer et al., Doğru et al., Banerjee-Sen, Tryon and Xulu in different gravitation theories.

MSC:

83F05 Relativistic cosmology
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
83C40 Gravitational energy and conservation laws; groups of motions
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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