Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes

Abstract

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 $\omega =0$.

13 pages, accepted for publication in Modern Physics Letters A

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• Energy Distribution in f(R) Gravity
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• Energy-Momentum of the Friedmann Models in General Relativity and Teleparallel Theory of Gravity
• Teleparallel Version of the Levi-Civita Vacuum Solutions and their Energy Contents
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• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes