Gödel type metrics in Einstein-aether theory
Date
2009
Authors
Gürses, M.
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Advisor
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Instructor
Source Title
General Relativity and Gravitation
Print ISSN
0001-7701
Electronic ISSN
1572-9532
Publisher
Springer
Volume
41
Issue
1
Pages
31 - 38
Language
English
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Journal Title
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Abstract
Aether theory is introduced to implement the violation of the Lorentz invariance in general relativity. For this purpose a unit timelike vector field is introduced to the 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 Gödel type of metrics of general relativity are also exact solutions of the Einstein-aether theory. The only field equations are the 3D Maxwell field equations and the parameters are left free except c 1 - c 3 = 1. © 2008 Springer Science+Business Media, LLC.