Semianalytical study of texture collapse.

This study presents a simplified approach to studying the dynamics of global texture collapse. We derive equations of motion for a spherically symmetric field configuration using a two parameter ansatz. Then we analyze the effective potential for the resulting theory to understand possible trajectories of the field configuration in the parameter space of the ansatz. Numerical results are given for critical winding in spatially flat nonexpanding, and flat expanding universes. In addition, the open nonexpanding and open expanding cases are studied.