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Energy-momentum and angular momentum of Goedel universes

Mariusz P. Dabrowski·Janusz Garecki
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Abstract

We discuss the Einstein energy-momentum complex and the Bergmann-Thomson angular momentum complex in general relativity and calculate them for space-time homogeneous Goedel universes. The calculations are performed for a dust acausal model and for a scalar-field causal model. It is shown that the Einstein pseudotensor is traceless, not symmetric, the gravitational energy is "density" is negative and the gravitational Poynting vector vanishes. Significantly, the total (gravitational and matter) energy "density" fro the acausal model is zero while for the casual model it is negative.The Bergmann-Thomson angular momentum complex does not vanish for both Gödel models.

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Mariusz P. Dabrowski, Janusz Garecki. 2004-05-17. Energy-momentum and angular momentum of Goedel universes. https://doi.org/10.1103/physrevd.70.043511

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