Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-07-20
Mod.Phys.Lett.A22:425-434,2007; Addendum-ibid.A23:3431-3433,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages, accepted for publication in Modern Physics Letters A
Scientific paper
10.1142/S0217732307021214 10.114
In this paper, we find the energy-momentum distribution of stationary axisymmetric spacetimes in the context of teleparallel theory by using M$\ddot{o}$ller prescription. The metric under consideration is the generalization of the Weyl metrics called the Lewis-Papapetrou metric. The class of stationary axisymmetric solutions of the Einstein field equations has been studied by Galtsov to include the gravitational effect of an {\it external} source. Such spacetimes are also astrophysically important as they describe the exterior of a body in equilibrium. The energy density turns out to be non-vanishing and well-defined and the momentum becomes constant except along $\theta$-direction. It is interesting to mention that the results reduce to the already available results for the Weyl metrics when we take $\omega=0$.
Amir Jamil M.
Sharif Mai
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