An exterior for the Gödel spacetime

Details An exterior for the Gödel spacetime An exterior for the Gödel spacetime

1997-11-05

arxiv.org/abs/gr-qc/9711011v1

Class.Quant.Grav.15:357-366,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX 2.09, no figures. Submitted to Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/15/2/010

We match the vacuum, stationary, cylindrically symmetric solution of Einstein's field equations with $\Lambda$, in a form recently given by Santos, as an exterior to an infinite cylinder of dust cut out of a G\"{o}del 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 $\Lambda=0$.

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