Mechanics of Solids.
Vol. 44.
2009.
P. 198-203
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 the large topological charge n the solutions to the field equations are found, with the magnetic field of the vortex being longitudinal. The linear energy density of the vortex configuration is estimated. © 2009 Pleiades Publishing, Ltd.