Induced wormholes due to quantum effects of spherically reduced matter in large N approximation

Using one-loop effective action in large N and s-wave approximation we disc uss the possibility to induce primordial wormholes at the early Universe. A n analytical solution is found for self-consistent primordial wormhole with constant radius. Numerical study gives the: wormhole solution with increas ing throat radius and increasing red-shift function. There is also some ind ication to the possibility of a topological phase transition. (C) 1999 Else vier Science B.V. All rights reserved.