Godel Type Metrics in EinsteinAether Theory
Abstract
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 Einsteinaether theory. The only field equations are the 3dimensional Maxwell field equations and the parameters are left free except $c_{1}c_{3}=1$.
 Publication:

arXiv eprints
 Pub Date:
 January 2008
 arXiv:
 arXiv:0801.0516
 Bibcode:
 2008arXiv0801.0516G
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematics  Differential Geometry