Geodesic
Electrostatics in a locally flat space with conical singularities
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 150-162

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We calculate the potential of a pointlike source in a multicenter three-dimensional space–time and obtain general relations between the values of the regularized self-energy, force, and force moment. The self-action effects as well as the relative contribution of higher multipoles infinitely increase as the angle deficit increases. The results obtained are generalized to a system of parallel cosmic strings one of which carries a current. The case of string with a finite thickness is also considered. 
@article{TMF_2000_123_1_a12,
     author = {Yu. V. Grats and A. A. Rossikhin},
     title = {Electrostatics in a locally flat space with conical singularities},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {150--162},
     publisher = {mathdoc},
     volume = {123},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_123_1_a12/}
}
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Yu. V. Grats; A. A. Rossikhin. Electrostatics in a locally flat space with conical singularities. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 150-162. http://geodesic.mathdoc.fr/item/TMF_2000_123_1_a12/