Abstract

We obtain the energy and momentum densities of a general static axially symmetric vacuum space-time, the Weyl metric, with the help of Landau – Lifshitz and Bergmann – Thomson energy-momentum complexes. We find that these two definitions of energy-momentum complexes do not provide the same energy density for the space-time under consideration, while give the same momentum density. We show that, in the case of the Curzon metric (a particular case of the Weyl metric), these two definitions give the same energy only when R → ∞. Furthermore, we compare these results with those obtained using Einstein, Papapetrou and MOller energy momentum complexes.

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