Stability of Sigma-Model Strings and Textures
arXiv:gr-qc/0201042 · doi:10.1088/0264-9381/19/4/101
Abstract
In flat space-time, sigma-model strings and textures are both unstable to collapse and subsequent decay. With sufficient cosmological expansion, however, they are stable in a generalized sense: a small perturbation will cause them to change their shape, but they do not decay. The current rate of expansion is sufficient to stabilize strings, but not textures.
9 pages, to be published in Classical and Quantum Gravity