  We give a brief discussion on the limitations involving the expression mu
={angular deficit}/(8*pi),(G=c=1), which relates the string linear energy
density ''mu'' to the conical deficit angle. Then, we establish a new equation
between the angular deficit and another physical attribute of the string which
shows that the angular deficit is determined not only by the amount of proper
matter of the string but also, in a Newtonian sense, by its internal
gravitational field.
