# $S^1 imes S^2$ wormholes and topological charge

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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

Author: S. Alexander Ridgway

Source: https://archive.org/