  One method of gaining some insight into the motion of particles in a medium
with topological defects (e.g., electrons in a dislocated metal) is to look at
the geodesics of the medium around the defect. In this work the Hamilton-Jacobi
equation for the geodesics in a continuous medium containing a torsional
defect, an edge dislocation, is solved by using perturbation theory to first
order in the Burgers vector.
