Abstract

Rotation is believed to be one of the sources of the magnetic part of the Weyl tensor . To test this hypothesis I study for the van Stockum metric, which refers to an infinite cylinder of rotating dust. It turns out that is non-zero inside the cylinder. In the exterior can be made to vanish for cylinders of low mass per unit length, but not for those of higher mass per unit length; this agrees with previous work which suggested that in the former case the exterior field is static.

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