Collapse of spherically symmetric textures

Details Collapse of spherically symmetric textures Collapse of spherically symmetric textures

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46..524b&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 2, 15 July 1992, pp.524-531

Mathematics

Logic

10

Particle-Theory And Field-Theory Models Of The Early Universe, Exact Solutions

Scientific paper

We examine the collapse of spherically symmetric texture configurations without resort to a sigma-model approximation, in both Minkowski and Friedmann universes. Relations between topological charge and unwinding time are found, and it is demonstrated that while any texture of topological charge Q>0.5 can in principle unwind, one expects the generic unwinding events to involve a characteristic, background-dependent charge. In Minkowski, radiation-, and matter-dominated universes we find that unwindings typically involve charges of Q~0.74, 0.82, and 0.89, respectively. We also investigate the attainability of self-similarity (on which the only known analytic solution is based) in the evolution of textures, and demonstrate analytically that exact self-similar solutions in flat space exist only for an integer topological charge.

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