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TMF, 2000, Volume 123, Number 1, Pages 150–162 (Mi tmf593)  

This article is cited in 5 scientific papers (total in 5 papers)

Electrostatics in a locally flat space with conical singularities

Yu. V. Grats, A. A. Rossikhin

M. V. Lomonosov Moscow State University

Abstract: 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.

DOI: https://doi.org/10.4213/tmf593

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English version:
Theoretical and Mathematical Physics, 2000, 123:1, 539–548

Bibliographic databases:

Received: 27.04.1999

Citation: Yu. V. Grats, A. A. Rossikhin, “Electrostatics in a locally flat space with conical singularities”, TMF, 123:1 (2000), 150–162; Theoret. and Math. Phys., 123:1 (2000), 539–548

Citation in format AMSBIB
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\by Yu.~V.~Grats, A.~A.~Rossikhin
\paper Electrostatics in a locally flat space with conical singularities
\jour TMF
\yr 2000
\vol 123
\issue 1
\pages 150--162
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\crossref{https://doi.org/10.4213/tmf593}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1773217}
\zmath{https://zbmath.org/?q=an:1031.81573}
\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 123
\issue 1
\pages 539--548
\crossref{https://doi.org/10.1007/BF02551060}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000087532100013}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Grats, YV, “Chiral string in a curved space: Gravitational self-action”, Modern Physics Letters A, 16:11 (2001), 725  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    2. N. R. Khusnutdinov, “Particle self-action effects in a gravitational field”, Phys. Usp., 48:6 (2005), 577–593  mathnet  crossref  crossref  adsnasa  isi
    3. Yu. V. Grats, “Vacuum interaction of conic singularities”, Theoret. and Math. Phys., 186:2 (2016), 205–212  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. Grats Yu.V., Spirin P.A., “Vacuum polarization in the field of a multidimensional global monopole”, J. Exp. Theor. Phys., 123:5 (2016), 807–813  crossref  isi  elib  scopus
    5. Grats Yu.V. Spirin P., “Vacuum Polarization and Classical Self-Action Near Higher-Dimensional Defects”, Eur. Phys. J. C, 77:2 (2017), 101  crossref  isi  scopus  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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