Moller Energy--Momentum Complex in General Relativity for Higher Dimensional Universes

  • Using the Moller energy--momentum definition in general relativity
    (GR) we calculate the total energy--momentum distribution associated with (n+2)-dimensional homogeneous and isotropic model of the universe. It is found that total energy of Moller is vanishing in (n+2) dimensions everywhere but n-momentum components of Moller in (n+2) dimensions are different from zero. Also, we evaluate the static Einstein Universe, FRW universe and de Sitter universe in four dimensions by using (n+2)-type metric, then calculate the Moller energy--momentum distribution of these spacetimes. However, our results are consistent with the results of Banerjee and Sen, Xulu, Radinschi,
    Vargas, Cooperstock-Israelit, Aygun et al., Rosen, and Johri et al. in four dimensions.
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