Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-01-16
Astrophys.Space Sci. 302 (2006) 217-224
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, accepted for publication in Astrophysics and SpaceScience
Scientific paper
10.1007/s10509-006-9037-8
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, Papaterou and M$\ddot{o}$ller 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.
Fatima Tasnim
Sharif Mai
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