# Stability of sigma-model strings and textures

@article{Ward2002StabilityOS, title={Stability of sigma-model strings and textures}, author={Richard S. Ward}, journal={Classical and Quantum Gravity}, year={2002}, volume={19} }

In flat spacetime, sigma-model strings and textures are both unstable: they tend to collapse (and subsequently 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.

## 3 Citations

Topological Q-solitons

- Physics
- 2003

Static topologically-nontrivial configurations in sigma-models, for spatial dimension D⩾2, are unstable. The question addressed here is whether such sigma-model solitons can be stabilized by steady…

External Stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity

- Physics
- 2014

We discuss spherically symmetric solutions for point-like sources in Lorentz-breaking massive gravity theories. This analysis is valid for Stückelberg’s effective field theory formulation, for…

Classically spinning and isospinning non-linear σ-model solitons

- Physics
- 2014

We investigate classically (iso)spinning topological soliton solutions in (2+1)- and (3+1)-dimensional models; more explicitly isospinning lump solutions in (2+1) dimensions, Skyrme solitons in (2+1)…

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