Abstract
The general stationary vacuum gravitational field of cylindrical symmetry as recently found by Davies and Caplan is even static. The possible Petrov types of the Riemann tensor areI,D orO. In spacelike infinity the spacetime becomes necessarily flat.
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Frehland, E. The general stationary gravitational vacuum field of cylindrical symmetry. Commun.Math. Phys. 23, 127–131 (1971). https://doi.org/10.1007/BF01877754
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DOI: https://doi.org/10.1007/BF01877754