Gödel's metric and its generalization

Özgören, Kıvanç
In this thesis, firstly the original Gödel's metric is examined in detail. Then a more general class of Gödel-type metrics is introduced. It is shown that they are the solutions of Einstein field equations with a physically acceptable matter distribution provided that some conditions are satisfied. Lastly, some examples of the Gödel-type metrics are given.


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Gödel Spacetime
Kavuk, Mehmet; Sarıoğlu, Bahtiyar Özgür; Department of Physics (2005)
In this thesis properties of the Gödel spacetime are analyzed and it is explicitly shown that there exist closed timelike curves in this spacetime. Geodesic motions for massive particles and light rays are investigated. One observes the focusing effect as a result of the solution of the geodesic equations. The time it takes for a free particle released from a point to come back to its starting point is calculated. A geometrical interpretation of the Gödel spacetime is given and the question of what the Göde...
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Karaca, Koray; Bayın, Selçuk; Department of Physics (2005)
In this thesis, assuming that higher spatial dimensions existed only during the inflationary prematter phases of the universe, we construct a (1+D)-dimensional (D>3), nonsingular, homogeneous and isotropic Friedmann model for dimensional reduction. In this model, dimensional reduction occurs in the form of a phase transition that follows from a purely thermodynamical consideration that the universe heats up during the inflationary prematter phases. When the temperature reaches its Planck value Tpl,D, which ...
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Kuyrukcu, Halil; Başkal, Sibel; Department of Physics (2010)
The standard Kaluza-Klein theory is reviewed and its basic equations are rewritten in an anholonomic basis. A five dimensional Yang-Mills type quadratic and cubic curvature gravity model is introduced. By employing the Palatini variational principle, the field equations and the stress-energy tensors of these models are presented. Unification of gravity with electromagnetism is achieved through the Kaluza-Klein reduction mechanism. Reduced curvature invariants,field equations and stress-energy tensors in fou...
Citation Formats
K. Özgören, “Gödel’s metric and its generalization,” M.S. - Master of Science, Middle East Technical University, 2005.