Energy-momentum distribution of the Weyl-Lewis-Papapetrou and the Levi-Civita metrics

this paper is devoted to compute the energy-momentum densities for two exact solutions of the einstein field equations by using the prescriptions of einstein, landau-lifshitz, papapetrou and m？ller. the spacetimes under consideration are the weyl-lewis-papapetrou and the levi-civita metrics. the weyl metric becomes the special case of the weyl-lewis-papapetrou solution. the levi-civita metric provides constant momentum in each prescription with different energy density. the weyl-lewis-papapetrou metric yields all the quantities different in each prescription. these differences support the well-defined proposal developed by cooperstock and from the energy-momentum tensor itself.