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Charge and the topology of spacetime

Tammo Diemer·Mark J Hadley
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Abstract

A new class of electrically charged wormholes is described in which the outer two sphere is not spanned by a compact coorientable hypersurface. These wormholes can therefore display net electric charge from the source free Maxwell's equation. This extends the work of Sorkin on non-space orientable manifolds, to spacetimes which do not admit a time orientation. The work is motivated by the suggestion that quantum theory can be explained by modelling elementary particles as regions of spacetime with non-trivial causal structure. The simplest example of an electrically charged spacetime carries a spherical symmetry.

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Tammo Diemer, Mark J Hadley. 1999-09-02. Charge and the topology of spacetime. https://doi.org/10.1088/0264-9381%2F16%2F11%2F308

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