Axisymmetric radiation carries no axial angular momentum
= Axisymmetric radiation carries no axial angular momentum
An exact axial <Killing vector field> makes <Komar angular momentum> independent of the surrounding vacuum surface. Therefore <gravitational waves> in a configuration with exact <axisymmetry> carry no net <angular momentum> about that symmetry axis, although they can carry <energy>. This is specific to axial <angular momentum>; it is not an absence of radiation.