Abstract
This paper has been addressed to a very old but burning problem of energy in General Relativity. We evaluate energy and momentum densities for the static and axisymmetric solutions. This specializes to two metrics, i.e., Erez-Rosen and the gamma metrics, belonging to the Weyl class. We apply four well-known prescriptions of Einstein, Landau-Lifshitz, Papapetrou and Möller to compute energy-momentum density components. We obtain that these prescriptions do not provide similar energy density, however momentum becomes constant in each case. The results can be matched under particular boundary conditions.
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Sharif, M., Fatima, T. Energy Distribution Associated with Static Axisymmetric Solutions. Astrophys Space Sci 302, 217–224 (2006). https://doi.org/10.1007/s10509-006-9037-8
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DOI: https://doi.org/10.1007/s10509-006-9037-8