$S^1 \times S^2$ wormholes and topological charge

Details $S^1 \times S^2$ wormholes and topological charge $S^1 \times S^2$ wormholes and topological charge

1993-12-16

arxiv.org/abs/hep-th/9312149v1

Phys.Rev.D50:892-900,1994

Physics

High Energy Physics

High Energy Physics - Theory

18 pages (includes 6 figs.), harvmac and epsf, CU-TP-620

Scientific paper

10.1103/PhysRevD.50.892

I investigate solutions to the Euclidean Einstein-matter field equations with topology $S^1 \times S^2 \times R$ in a theory with a massless periodic scalar field and electromagnetism. These solutions carry winding number of the periodic scalar as well as magnetic flux. They induce violations of a quasi-topological conservation law which conserves the product of magnetic flux and winding number on the background spacetime. I extend these solutions to a model with stable loops of superconducting cosmic string, and interpret them as contributing to the decay of such loops.

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