The set of rigidly rotating solutions to the relativistic string equation with subluminal azimuthal velocity has recently been reported by Ogawa et al. This set, together with a second set of rigidly rotating strings with superluminal azimuthal velocity, was reported in earlier papers by Burden and Tassie, and independently by Embacher. We believe the second set is also physically relevant to modelling cosmic strings. We write both sets of rigidly rotating string solutions in the aligned standard gauge and give a geometrical interpretation.

• Received 29 August 2008

DOI:https://doi.org/10.1103/PhysRevD.78.128301