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

S. Alexander Ridgway

doi:10.1103/physrevd.50.892

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arXiv · hep-th/9312149

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

S. Alexander Ridgway

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Abstract

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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S. Alexander Ridgway. 1993-12-16. $S^1 \times S^2$ wormholes and topological charge. https://doi.org/10.1103/physrevd.50.892

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