Energy-momentum and angular momentum of Goedel universes

Details Energy-momentum and angular momentum of Goedel universes Energy-momentum and angular momentum of Goedel universes

2003-09-12

arxiv.org/abs/gr-qc/0309064v2

Phys.Rev. D70 (2004) 043511

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

an amended version, 24 pages, accepted to PRD

Scientific paper

10.1103/PhysRevD.70.043511

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 G\"odel models.

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