title: Note on the form of the metric for an isolated vortex in general relativity.
abstract: Calling a metric semidiagonal if it has a single off-diagonal element g t, we show that the stationary interior solution for a cylindrically symmetrical perfect fluid possessing an angular momentum cannot have a semidiagonal metric, unless the motion of the fluid particles is purely rotational around the axis of symmetry. A discussion is given of the relativistic spherical vortex in flat space, with a view of seeking a solution for such an isolated vortex in which gravitation is not neglected.
authors.affiliation: Department of Applied Mathematics, Weizmann Institute of Science, Rehovot, Israel.
authors.forename: C L
authors.initials: CL
authors.lastname: Pekeris
authors.forename: K
authors.initials: K
authors.lastname: Frankowski