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1/r - Potential Without Charge

K. Buchner
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Abstract

In order to get geodesically complete Reissner - Nordstroem space - times, it is necessary to identify pairs of singular points. This can be done in such a way that "wormholes" are created which generate electric field lines without any charge. Finally, it is shown that it is possible to glue these space - times not in the singularities r=0, but at some r>0. The surface energy generated by this gluing is exotic, but tends to zero in the limit r -> 0.

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K. Buchner. 2001-02-13. 1/r - Potential Without Charge. https://doi.org/10.1063/1.1362285

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