Higher-dimensional energy-momentum problem for Bianchi types V and I universes in gravitation theories

Kiy G., AYGÜN S.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.12, no.4, 2015 (SCI-Expanded) identifier identifier


Using the Einstein, Bergmann-Thomson, Landau-Lifshitz, Moller, Papapetrou and Tolman energy-momentum complexes in general relativity (GR) and teleparallel gravity (TG), we calculate the total energy-momentum distributions associated with N-dimensional Bianchi type V universe. While the solutions of Einstein, Bergmann-Thomson and Tolman energy and momentum densities are the same as each other, the solutions of Landau-Lifshitz, Moller and Papapetrou energy-momentum densities are different for N-dimensional Bianchi type V space-time in GR and TG. Obtained results for Einstein, Bergmann-Thomson and Landau-Lifshitz definitions we could say that GR and TG are in the same class. Because different energy-momentum distributions provide same results. However we have discussed N-dimensional Bianchi type I solutions and then we obtained all energy-momentum solutions are vanish in GR and TG theories. These results agree with Banerjee-Sen, Xulu, Aydogdu-Salti and Radinschi in four dimensions.