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

Abstract

Using one-loop effective action in large N and s-wave approximation we discuss the possibility to induce primordial wormholes at the early Universe. An analytical solution is found for self-consistent primordial wormhole with constant radius. Numerical study gives the wormhole solution with increasing throat radius and increasing red-shift function. There is also some indication to the possibility of a topological phase transition.

LaTeX file, 2 eps figures, 9 pages, few misprints are corrected, numerics are changed

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