Charge and the topology of spacetime
arXiv:gr-qc/9905069 · doi:10.1088/0264-9381/16/11/308
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.
Accepted by Class. Quantum Grav. More explanation added as advised by the referee. 13 pages
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