Energy and Angular Momentum Densities in a Godel-Type Universe in the Teleparallel Geometry - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: The main scope of this research consists in evaluating the energy-momentumgravitational field plus matter and gravitational angular momentum densitiesin the universe with global rotation, considering the Godel-Obukhov metric. Forthis, we use the Hamiltonian formalism of the Teleparallel Equivalent ofGeneral Relativity TEGR, which is justified for presenting covariantexpressions for the considered quantities. We found that the total energydensity calculated by the TEGR method is in agreement with the results reportedby other authors in the literature using pseudotensors. The result found forthe angular momentum density depends on the rotational parameter as expected.We also show explicitly the equivalence among the field equations of the TEGRand Einstein equations RG, considering a perfect fluid and Godel-Obukhovmetric.



Author: A. A. Sousa, R. B. Pereira, A. C. Silva

Source: https://arxiv.org/







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