Dynamics of a self-gravitating global string with large Higgs boson mass

We consider a self-gravitating string generated by a global vortex solution in general relativity. We investigate the Einstein and field equations of a global vortex in the region of its central line and at a distance from the centre of the order of the inverse of its Higgs boson mass. By combining the two we establish by a limiting process of large Higgs mass the dynamics of a self-gravitating global string. Under our assumptions the presence of gravitation restricts the world sheet of the global string to be totally geodesic. PCAS numbers : 11.27.+d, 04.40.-b E-mail : christos@celfi.phys.univ-tours.fr y E-mail : boisseau@celfi.phys.univ-tours.fr z E-mail : linet@celfi.phys.univ-tours.fr I Introduction It is generally admitted that a cosmic string obeys the Nambu-Goto dynamics in curved background spacetime. Indeed this has been shown for a gauge string embedded in Minkowski space-time [1, 2] in the limit where the range of the massive fields tends to zero. In general relati..