ON THE SUPERMASSIVE U(1) GAUGE COSMIC STRINGS

Within the framework of the U(1) gauge cosmic strings, the supermassive case where the linear mass density is 1/4 in units for which G=c=1 is analysed. Making use of a system of first-order differential equations, the form of the solutions is given explicitly. Two possibilities are found: (i) the solution represents a vortex, or an antivortex, and the spacetime is the product of R2 by a 2-surface which is asymptotically a cylinder; (ii) the solution represents a system of a vortex and an antivortex at equilibrium and the spacetime is the product of R2 by a 2-surface having the topology of a sphere.