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- Title
The electrostatics of Einstein’s unified field theory.
- Authors
Salvatore Antoci; Dierck-Ekkehard Liebscher; Luigi Mihich
- Abstract
Abstract When sources are added at their right-hand sides, and g(ik) is a priori assumed to be the metric, the equations of Einstein’s Hermitian theory of relativity were shown to allow for an exact solution that describes the general electrostatic field of n point charges. Moreover, the injunction of spherical symmetry of g(ik) in the infinitesimal neighbourhood of each of the charges was proved to yield the equilibrium conditions of the n charges in keeping with ordinary electrostatics. The tensor g(ik), however, cannot be the metric of the theory, since it enters neither the eikonal equation nor the equation of motion of uncharged test particles. A physically correct metric that rules both the behaviour of wave fronts and of uncharged matter is the one indicated by Hély.
- Subjects
RELATIVITY (Physics); GRAVITATION; CONTINUUM mechanics; EINSTEIN field equations
- Publication
General Relativity & Gravitation, 2005, Vol 37, Issue 7, p1191
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-005-0104-1