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arXiv · gr-qc/9803048

Godel Universes in String Theory

John D. Barrow·Mariusz P. Dabrowski
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Abstract

We show that homogeneous Gödel spacetimes need not contain closed timelike curves in low-energy-effective string theories. We find exact solutions for the Gödel metric in string theory for the full $O(α^{\prime})$ action including both dilaton and axion fields. The results are valid for bosonic, heterotic and super-strings. To first order in the inverse string tension $α^{\prime}$, these solutions display a simple relation between the angular velocity of the Gödel universe, $Ω,$ and the inverse string tension of the form $α^{\prime}=1/Ω^2$ in the absence of the axion field. The generalization of this relationship is also found when the axion field is present.

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John D. Barrow, Mariusz P. Dabrowski. 1998-04-28. Godel Universes in String Theory. https://doi.org/10.1103/physrevd.58.103502

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