 
Summary: arXiv:grqc/0405064
v4
9
Jun
2005
THE ELECTROSTATICS OF EINSTEIN'S UNIFIED FIELD
THEORY
SALVATORE ANTOCI, DIERCKEKKEHARD LIEBSCHER, AND LUIGI MIHICH
Abstract. When sources are added at their righthand sides, and g (ik)
is a priori assumed to be the metric, the equations of Einstein's Hermit
ian theory of relativity were shown to allow for an exact solution that
describes the general electrostatic eld of n point charges. Moreover,
the injunction of spherical symmetry of g (ik)
in the innitesimal neigh
bourhood 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
