Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-03-10
Grav.Cosmol.16:25-33,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, no figures. Revised in view of Referee's comments. Version to appear in the Gravitation and Cosmology
Scientific paper
10.1134/S0202289310010044
The main scope of this research consists in evaluating the energy-momentum (gravitational field plus matter) and gravitational angular momentum densities in the universe with global rotation, considering the Godel-Obukhov metric. For this, we use the Hamiltonian formalism of the Teleparallel Equivalent of General Relativity (TEGR), which is justified for presenting covariant expressions for the considered quantities. We found that the total energy density calculated by the TEGR method is in agreement with the results reported by other authors in the literature using pseudotensors. The result found for the angular momentum density depends on the rotational parameter as expected. We also show explicitly the equivalence among the field equations of the TEGR and Einstein equations (RG), considering a perfect fluid and Godel-Obukhov metric.
Pereira R. B.
Silva Christian A.
Sousa Alexandre
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