Energy and Angular Momentum Densities in a Godel-Type Universe in the Teleparallel Geometry

Abstract

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.

20 pages, no figures. Revised in view of Referee's comments. Version to appear in the Gravitation and Cosmology

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• Global and Local Effects of Rotation: Observational Aspects
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• An AP-Structure with Finslerian Flavor II: Torsion, Curvature and Other Objects
• Energy Distribution for Non-commutative Radiating Schwarzschild Black Holes
• Energy distribution of a regular black hole solution in Einstein-nonlinear electrodynamics
• Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-time Geometry
• On the Energy-Momentum Flux in Gödel-type Models
• Gödel's Universe and the Local Limit of Nonlocal Gravity
• On the energy of a non-singular black hole solution satisfying the weak energy condition