English

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

General Relativity and Quantum Cosmology 2016-08-31 v2

Abstract

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 RR \to \infty. Furthermore, we compare these results with those obtained using Landau and Lifshitz, Bergmann and M{\o}ller.

Keywords

Cite

@article{arxiv.gr-qc/0403097,
  title  = {Energy and momentum associated with a Static Axially Symmetric Vacuum Space-Time},
  author = {Ragab M. Gad},
  journal= {arXiv preprint arXiv:gr-qc/0403097},
  year   = {2016}
}

Comments

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