Energy-Momentum Distribution in Weyl Metrics
arXiv:gr-qc/0507069 · doi:10.1393/ncb/i2005-10062-y
Abstract
In this paper, we evaluate energy and momentum density distributions for the Weyl metric by using the well-known prescriptions of Einstein, Landau-Lifshitz, Papaterou and M$\ddot{o}$ller. The metric under consideration is the static axisymmetric vacuum solution to the Einstein field equations and one of the field equations represents the Laplace equation. Curzon metric is the special case of this spacetime. We find that the energy density is different for each prescription. However, momentum turns out to be constant in each case.
12 pages, accepted for publication in Nuovo Cimento B