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A study of ray trajectories was undertaken for the Tamm medium whichrepresents the spacetime of a cosmic spinning string, under thegeometric-optics approximation. Our numerical studies revealed that: (i) raysnever cross the string's boundary; (ii) the Tamm medium supports evanescentwaves in regions of phase space that correspond to those regions of thestring's spacetime which could support closed timelike curves; and (iii) aspinning string can be slightly visible while a non-spinning string is almostperfectly invisible.

Ray trajectories for a spinning cosmic string and a manifestation of self-cloaking