AN EXTERIOR FOR THE GODEL SPACETIME

We match the vacuum, stationary, cylindrically symmetric solution of E instein's field equations with Lambda, in a form recently given by San tos, as an exterior to an infinite cylinder of dust cut out of a Godel universe. There are three cases, depending on the radius of the cylin der. Closed timelike curves are present in the exteriors of some of th e 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.