Godel Type Metrics in Einstein-Aether Theory

Details Godel Type Metrics in Einstein-Aether Theory Godel Type Metrics in Einstein-Aether Theory

2008-01-03

arxiv.org/abs/0801.0516v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

Aether theory is introduced to implement the violation of the Lorentz invariance in general relativity. For this purpose a unit timelike vector field introduced to theory in addition to the metric tensor. Aether theory contains four free parameters which satisfy some inequalities in order that the theory to be consistent with the observations. We show that the G{\" o}del type of metrics of general relativity are also exact solutions of the Einstein-aether theory. The only field equations are the 3-dimensional Maxwell field equations and the parameters are left free except $c_{1}-c_{3}=1$.

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