  We consider a wedge dislocation in the framework of elasticity theory and the
geometric theory of defects. We show that the geometric theory reproduces
quantitatively all the results of elasticity theory in the linear
approximation. The coincidence is achieved by introducing a postulate that the
vielbein satisfying the Einstein equations must also satisfy the gauge
condition, which in the linear approximation leads to the elasticity equations
for the displacement vector field. The gauge condition depends on the Poisson
ratio, which can be experimentally measured. This indicates the existence of a
privileged reference frame, which denies the relativity principle.
