Energy and momentum associated with a Static Axially Symmetric Vacuum Space-Time

Details Energy and momentum associated with a Static Axially Symmetric Vacuum Space-Time Energy and momentum associated with a Static Axially Symmetric Vacuum Space-Time

2004-03-24

arxiv.org/abs/gr-qc/0403097v2

Mod.Phys.Lett. A19 (2004) 1847-1854

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, References added, typos corrected [Admin note: substantial overlap with gr-qc/0404108, gr-qc/0403039]

Scientific paper

10.1142/S0217732304014744

We use the Einstein and Papapetrou energy-momentum complexes to calculate the energy and momentum densities of Weyl metric as well as Curzon metric. We show that these two different definitions of energy-momentum complexes do not provide the same energy density for Weyl metric, although they give the same momentum density. We show that, in the case of Curzon metric, these two definitions give the same energy only when $R \to \infty$. Furthermore, we compare these results with those obtained using Landau and Lifshitz, Bergmann and M{\o}ller.

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