Gravitating self-dual cylindrical solutions in gauged sigma models

Yosef Verbin, S. Madsen, A. L. Larsen

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Cosmic strings and gravitating vortices are considered in gauged sigma models with either Maxwell or Chern-Simons terms. We obtain self-duality conditions for a general twodimensional target space which restrict the form of the scalar potential. In particular, we study the equations for the case of 0(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

Original languageEnglish
Title of host publicationThe Tenth Marcel Grossmann Meeting
Subtitle of host publicationOn Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories
PublisherWorld Scientific Publishing Co.
Number of pages3
ISBN (Electronic)9789812704030
ISBN (Print)9789812566676
StatePublished - 1 Jan 2006


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