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arXiv · gr-qc/9711011

An exterior for the Gödel spacetime

W. B. Bonnor·N. O. Santos·M. A. H. MacCallum
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Abstract

We match the vacuum, stationary, cylindrically symmetric solution of Einstein's field equations with $Λ$, in a form recently given by Santos, as an exterior to an infinite cylinder of dust cut out of a Gödel universe. There are three cases, depending on the radius of the cylinder. Closed timelike curves are present in the exteriors of some of the solutions. There is a considerable similarity between the spacetimes investigated here and those of van Stockum referring to an infinite cylinder of rotating dust matched to vacuum, with $Λ=0$.

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W. B. Bonnor, N. O. Santos, M. A. H. MacCallum. 1997-11-05. An exterior for the Gödel spacetime. https://doi.org/10.1088/0264-9381%2F15%2F2%2F010

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