Energy-Momentum Distribution of the Weyl-Lewis-Papapetrou and the Levi-Civita Metrics

Details Energy-Momentum Distribution of the Weyl-Lewis-Papapetrou and the Levi-Civita Metrics Energy-Momentum Distribution of the Weyl-Lewis-Papapetrou and the Levi-Civita Metrics

2007-11-17

arxiv.org/abs/0711.2721v1

Braz.J.Phys.37:1292-1300,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, accepted for publication in Brazilian J. Physics

Scientific paper

10.1590/S0103-97332007000800017

This paper is devoted to compute the energy-momentum densities for two exact solutions of the Einstein field equations by using the prescriptions of Einstein, Landau-Lifshitz, Papapetrou and M\"{o}ller. The spacetimes under consideration are the Weyl-Lewis-Papapetrou and the Levi-Civita metrics. The Weyl metric becomes the special case of the Weyl-Lewis-Papapetrou solution. The Levi-Civita metric provides constant momentum in each prescription with different energy density. The Weyl-Lewis-Papapetrou metric yields all the quantities different in each prescription. These differences support the well-defined proposal developed by Cooperstock and from the energy-momentum tensor itself.

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