2005
DOI: 10.1134/1.2047791
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Geometry of a centrosymmetric electric charge

Abstract: The gravitational description given for an electric charge qn the basis of exact solution of the Einstein-Maxwell equations eliminates Coulomb divergence. The internal pulsating semiconfined world formed by neutral dust is smoothly joined with parallel Reissner-Nordstrem vacuum worlds via two static bottlenecks. The charge, rest mass, and electric field are expressed in terms of the space curvatures. The internal and external parameters of the maximon, electron, and the universe form a power series.

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Cited by 6 publications
(7 citation statements)
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“…(22), for positive values of the 4-curvature of radial spheres it is necessary that R > R f . This condition can always be satisfied in the solutions under study [7], which indicates that in such worlds, formed by dust and electromagnetic fields, the Coulomb divergence, i.e., the singularity R = 0 in the field of a point charge, which is present in Minkowski space, is removed. However, in the Tolman and Friedmann worlds [1], to which our solution passes over if the electromagnetic field is absent (R f = 0), as well as in the Reissner-Nordstr¨om space describing a vacuum world of a point charge e with mass m 0 , to which our solution passes over in the absence of matter (F = 0), this singularity is present.…”
Section: Spherically Symmetric Solutions To the Einstein-maxwell Equamentioning
confidence: 91%
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“…(22), for positive values of the 4-curvature of radial spheres it is necessary that R > R f . This condition can always be satisfied in the solutions under study [7], which indicates that in such worlds, formed by dust and electromagnetic fields, the Coulomb divergence, i.e., the singularity R = 0 in the field of a point charge, which is present in Minkowski space, is removed. However, in the Tolman and Friedmann worlds [1], to which our solution passes over if the electromagnetic field is absent (R f = 0), as well as in the Reissner-Nordstr¨om space describing a vacuum world of a point charge e with mass m 0 , to which our solution passes over in the absence of matter (F = 0), this singularity is present.…”
Section: Spherically Symmetric Solutions To the Einstein-maxwell Equamentioning
confidence: 91%
“…The idea that the gravitational interaction, i.e., space-time curvature can be significant either in the mega-world at the scale of the Universe or in the micro-world, at critically small lengths (at the Planck scale), can be put to doubt due to the universal nature of gravity: any matter possessing stress-energy curves the space-time, and this curvature is equivalent to a gravitational field [1][2][3][4][5][6][7].…”
Section: Problem Statementmentioning
confidence: 99%
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