Energy and Momentum Densities Associated with Solutions Exhibiting Directional Type Singularities

Details Energy and Momentum Densities Associated with Solutions Exhibiting Directional Type Singularities Energy and Momentum Densities Associated with Solutions Exhibiting Directional Type Singularities

2004-04-27

arxiv.org/abs/gr-qc/0404108v4

Gen.Rel.Grav. 38 (2006) 417-424

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, references added, minor corrections [Admin note: substantial overlap with gr-qc/0403097 , gr-qc/0403039 ]

Scientific paper

10.1007/s10714-006-0230-4

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 M{\o}ller energy momentum complexes.

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