Abstract
Cylindrically symmetric self-gravitating configurations of string (vortex) type are considered within the framework of the chiral SU(2) model with the inclusion of the Yang-Mills proper gauge field. In the approximation of a large topological charge N, solutions to the field equations are found, the magnetic field of the vortex being longitudinal. The energy and the toroidal moment of a closed vortex configuration are estimated.
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