DETERMINATION OF THE WORLD SURFACE OF A RELATIVISTIC STRING FROM THE TRAJECTORY OF A MASSIVE END

It is shown that the world surface of a relativistic string can be uni quely recovered from the trajectory of a massive end of it if the traj ectory is specified in Minkowski space in the form of an arbitrary cur ve of constant curvature with timelike tangent vector. Conditions are determined for the existence on the world surface of a line that can b e identified with the trajectory of the other end of the string and al so for the possibility of physical realization of the model in the cas e when there is no such line.