An exterior for the Gödel spacetime

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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 $Λ=0$.
11 pages, LaTeX 2.09, no figures. Submitted to Classical and Quantum Gravity

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/202216

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9711011
 http://arxiv.org/abs/gr-qc/9711011
 Class.Quant.Grav.15:357-366,1998
 doi:10.1088/0264-9381/15/2/010

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