In the framework of General Relativity, for the SU(2) sigma model, an exact cylindrically symmetrical (vortex) solution to the equations of motion is constructed. The solution found can be characterized by a topological charge of degree type and an angular deficit Linearization stability of the vortices in Lyapunov's sense is proved, and the deflection angle for a light ray in the gravitational field of the vortex (the gravitational lens effect) is calculated.
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