TOPOLOGICAL CONSERVATION CURRENT OF COSMIC STRINGS

In our previous research, we have constructed a second rank antisymmetric topological current to study various topological properties of cosmic strings in the early universe. In this paper, starting from the conservation equation of the current, we give a detailed discussion of the structure of the current itself, and finally obtain a new constrained equation for the motion of cosmic strings and a conserved, antisymmetric world sheet tensor which may have a deep relation with the structure of the spacetime.