Charge and the topology of spacetime
General Relativity and Quantum Cosmology
2009-10-31 v2
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.
Keywords
Cite
@article{arxiv.gr-qc/9905069,
title = {Charge and the topology of spacetime},
author = {Tammo Diemer and Mark J Hadley},
journal= {arXiv preprint arXiv:gr-qc/9905069},
year = {2009}
}
Comments
Accepted by Class. Quantum Grav. More explanation added as advised by the referee. 13 pages