Self-Dual Cosmic Strings and Gravitating Vortices in Gauged Sigma Models

Details Self-Dual Cosmic Strings and Gravitating Vortices in Gauged Sigma Models Self-Dual Cosmic Strings and Gravitating Vortices in Gauged Sigma Models

2003-02-04

arxiv.org/abs/gr-qc/0302010v2

Phys.Rev. D67 (2003) 085019

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 8 figures; final version to appear in PRD. Minor changes

Scientific paper

10.1103/PhysRevD.67.085019

Cosmic strings are considered in two types of gauged sigma models, which generalize the gravitating Abelian Higgs model. The two models differ by whether the U(1) kinetic term is of the Maxwell or Chern-Simons form. We obtain the self-duality conditions for a general two-dimensional target space defined in terms of field dependent "dielectric functions". In particular, we analyze analytically and numerically the equations for the case of O(3) models (two-sphere as target space), and find cosmic string solutions of several kinds as well as gravitating vortices. We classify the solutions by their flux and topological charge. We note an interesting connection between the Maxwell and Chern-Simons type models, which is responsible for simple relations between the self-dual solutions of both types. There is however a significant difference between the two systems, in that only the Chern-Simons type sigma model gives rise to spinning cosmic vortices.

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