Studies in Space-Times Admitting Two Space-Like Killing Vectors

Abstract

Some properties of the space-times admitting two spacelike Killing vectors are studied. In particular, using harmonic maps the degree of freedom on the M' manifold is exploited to add scalar and electromagnetic fields to Bonnor's nonsingular solution. It is also shown that for vacuum space-times the noncommutativity of two spacelike Killing vectors is incompatible with the self-similarity requirement and such a self-similar vacuum space-time has no Taub-NUT equivalent extension.