M{\o}ller Energy-Momentum Complex of a Static Axially Symmetric Vacuum Space-Time

The energy and momentum densities associated with the Weyl metric are calculated using M{\o}ller’s energy-momentum complex. These results are compared with the results obtained by using the energy-momentum complexes of Einstein, Landau and Lifshitz, Papapetrou and Bergmann. We show that the aforementioned different prescriptions and that of M{\o}ller do not give the same energy density, while give the same momentum density.