Browsing by Subject "Gödel type metrics"
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Item Open Access Gödel type metrics in Einstein-aether theory(Springer, 2009) Gürses, M.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.Item Open Access Gödel type metrics in three dimensions(Springer New York LLC, 2010) Gürses, M.We show that the Gödel type metrics in three dimensions with arbitrary two dimensional background space satisfy the Einstein-perfect fluid field equations. We also show that there exists only one first order partial differential equation satisfied by the components of fluid's velocity vector field. We then show that the same metrics solve the field equations of the topologically massive gravity where the two dimensional background geometry is a space of constant negative Gaussian curvature. We discuss the possibility that the Gödel type metrics to solve the Ricci and Cotton flow equations. When the vector field uμ is a Killing vector field, we came to the conclusion that the stationary Gödel type metrics solve the field equations of the most possible gravitational field equations where the interaction lagrangian is an arbitrary function of the electromagnetic field and the curvature tensors. © 2009 Springer Science+Business Media, LLC.