 
Summary: arXiv:0803.3587v1[grqc]25Mar2008
EINSTEIN'S UNIFIED FIELD THEORY PREDICTS THE
EQUILIBRIUM POSITIONS OF N WIRES RUN BY
STEADY ELECTRIC CURRENTS
SALVATORE ANTOCI
Abstract. A particular exact solution of Einstein's Hermitian theory
of relativity is examined, after recalling that there is merit in adding
phenomenological sources to the theory, and in choosing the metric like
it was done long ago by Kur¸sunoglu and H´ely. It is shown by intrin
sic arguments, relying on the properties of the chosen metric manifold,
that the solution describes in Einstein's theory the field of n thin parallel
wires at rest, run by steady electric currents, and predicts their equi
librium positions through the injunction that the metric must display
cylindrical symmetry in the infinitesimal neighbourhood of each wire.
In the weak field limit the equilibrium positions coincide with the ones
prescribed by Maxwell's electrodynamics.
1. Introduction
The theory of the nonsymmetric field, after an early attempt by Einstein
[1], was separately developed in the same years, but starting from different
viewpoints, both by Einstein [2, 3, 4] and by Schr¨odinger [5, 6, 7, 8]. Both of
