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Energy and Momentum Densities Associated with Solutions Exhibiting Directional Type Singularities

Ragab M. Gad
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Abstract

We obtain the energy and momentum densities of a general static axially symmetric vacuum space-time described by the Weyl metric, using Landau-Lifshitz and Bergmann-Thomson energy-momentum complexes. These two definitions of the energy-momentum complex 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 Curzon metric which is a particular case of the Weyl metric, these two definitions give the same energy only when $R \to \infty$. Furthermore, we compare these results with those obtained using Einstein, Papapetrou and Møller energy momentum complexes.

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Ragab M. Gad. 2007-01-10. Energy and Momentum Densities Associated with Solutions Exhibiting Directional Type Singularities. https://doi.org/10.1007/s10714-006-0230-4

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